That’s REALLY hard to do, you’re trying to do way too tight of a radius =) Especially with that wall thickness.
Heating & bending may work.
Filling it with sand, capping the ends, heating it, bending it, forging the crimps back into the square shape, then uncapping the ends and draining the sand may work.
These chairs: http://www.target.com/gp/detail.html/175-0120735-4285759?ASIN=B0002VISEC&AFID=Froogle&LNM=B0002VISEC|Cafe_Aluminum_Side_Chair_Set_of_2&ci_src=14110944&ci_sku=B0002VISEC&ref=tgt_adv_XSG10001 have a similar radius to what you’re talking about, but they have a dimple from stretching on the inside, and they are far thinner wall.
I think your best bet may be the welding approach. What I would do is build up a radius from flat pieces. That is, cut the top & bottom pieces, then cut & bend the inside and outside radius pieces, and weld the whole thing together, then chase all your welds smooth.
Notably, the problem you’re facing is that the difference between the length of the OD and the length of the ID is significant. At a 90-degree bend, you’ve got 4.713 inches on the OD, and 2.355 inches on the inside. With your 0.25 wall thickness, you’ve got 0.88 in^3 that you need to ‘get rid of” just on the inside face.
Another option is kerf bending, but that’s far more welding and chasing than just building the corner out of bar stock. In short, you make cuts most of the way through the piece on the inside (if you’ve got a blade with an 1/8” kerf, you make about 19 cuts to do a 90 degree bend), bend the piece, and then weld it all back together, and then grind it smooth.