well, I have that very same card, with an amd a10 6790k @ 4Ghz processor, and skyrim goes just fine on high settings (actually I recomend reducing decals, because it makes the night too dark) and 1440x900 RES. I get an average of 35 fps with very little in-game variation and game experience is great.
Furthermore, depite the card having a somewhat bad rep (since it's a cheap ddr3 card) I have no complains, I have played some of the heavy hitters and it goes just ok, it gives enough. AC IV, black flag runs at an avg of 25 FPS on MID settings, with HIGH enviromental quality, no motion blur, no Vsync. it does goes as down as 20 fps on heavy graphics situations, like foggy areas with several ships and cannon fire, but thats just me beeing stubborn. I could lower resolution and other graphics to get higher fps.
All in all, its a cheap card. no BF4 multiplayer for you, but it does well enough to keep you happy.