Patching and Plastering - Patch a 0.75" hole and make it solid to hold curtains?

I have a hole in some drywall where a curtain rod was (is) that had somehow become pulled out from the wall. I have no idea how, since it was put in with a drywall anchor, but at this point it does not matter.

The problem I am now faced with is that I have an approx 0.75" hole in the drywall where I want to put a screw to hold the curtain rod back up again. What is the best way to go about filling the hole, and not only filling it, but making it (and the surrounding area) solid enough to hold the weight of a fairly heavy curtain rod?

I have been doing some searching and found the following:
WallSpan at Lowe's: 6" x 6" Wall Repair Patch (http://www.lowes.com/lowes/lkn?action=productDetail&productId=18347-76765-50376&lpage=none)

But, not sure if that is needed for something that is at most 0.75" in diameter. But, I also am fairly certain that the hole I have is too big to fill in the normal way that one would fill a nail hole, especially since I ultimately want to put a screw back in this hole again.

Thanks.

I would use 3" long x 3/16" diameter togle bolt(s) or whatever size you need, to hold the bracket or . The bracket may cover the hole & it won't be seen.

Naiku,
Several years ago I saw a segment on This Old House where they repaired a hole in drywall as you describe and I've used it a couple of time since.
Depending on your brackets and the weight of the curtain that are to be mounted on the repaired area of the hole you might have to widen it a bit to support a sufficiently strong piece of wood/backerboard that you're going to mount on the 'inside' of the drywall through and behind the hole.
Cut a strip of wood that will be thick enough to support the weight of the curtain/rod AND that will fit in through the width of the hole. It will also have to be long enough to 'span' the hole onto the drywall where it is good/solid - like putting one of the old wooden paint stir sticks across the top of the paint bucket - leaving you enough wood to drill into from the drywall-side on each side of the hole.
Use a string/piece of wire, already inserted in a pre-drilled hole in the center of the wooden slat to 'pull' the slat firm against the hole while you drill/screw the wooden slat fast through the drywall. In my case, I also had to hand-fit an additional piece of wood onto this slat that brought it 'almost' to the level of the drywall -- then I just used joint compound to finish the patch. Once the patched area was dry and painted, I then mounted my curtain bracket. Because my curtain rod was over 10 ft. I used an initial wood slat wide enough so that I had 2 screws in each side of the slat that spanned the hole.
Hope this is clear enough and helps,
Greynold99

Thanks for the replies... greynold99 I had found that method a couple times while searching Google, I think I had been hoping to find an easier way, but from the sounds of things to make it strong enough I am going to have to use the wood behind the drywall.

I imagine if I make the hole itself about 2" that I can fit a 6" or so piece of wood in there. Will be a pain having to make a bigger hole, to fix a smaller hole, but at least I know it is not likely to come down again!

Now just to put together a shopping list.