Changing Danish cord to fabric  

There is a woven mesh that...
There is a woven mesh that serves as the support, with padding on top of that. No solid board, or anything like that.

Thanks tchp! I actually just...
Thanks tchp! I actually just found another thread with the mesh mentioned! Seems pretty straightforward! Thanks again for the quick reply.

I do believe that this stuff...
I do believe that this stuff might well be the same material - either the standard grade, or the "Plus" version of Phifertex.
http://www.beaconfabric.com/vindex.html?cat289.htm

Thanks again!!
Thanks again!!

I stripped one of these...
I stripped one of these chairs down to replace the original vinyl and it had a good quality burlap stretched on the frame. I'd probably go with synthetic, though---stronger in the long run.
I think elastic webbing would be more comfortable, though.
Wood would be a travesty! Not comfortable at all and it wouldn't fit the curves of the frame unless you went to the trouble of doing molded plywood and that would just be a crazy amount of work in the end.

Oh, and also-
I hope you're not thinking of doing this because redoing woven cord seems out of reach. There's another big long thread here about that, if you're interested.

Thanks spanky! And no, Im...
Thanks spanky! And no, Im just not a fan of the danish cord!