The seat of a wheelchair has a back that is deeply contoured to provide lateral support for a user, and which is adjusted to conform to user torsos of various sizes. The seat back has a rigid, curved shell formed by a back panel with separate wings adjustably projecting forward from opposite sides of the back panel. Adjustment of the wings alters the length of curvature of the shell to conform to user torsos of different sizes. A cushion is attached to the shell and has pleated sections which expand and contract as the shell is adjusted.