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Modelling curved chair seat

Hello,
I am trying to model the seat for this chair. The description states that the seat is placed on 4 rubber spacers at the corners and 2 screws used at the front and back to pull the seat into a curve. I dont know how to model this. I have managed to model two curves I can loft between… but then im kind of stuck trying to model it any further from the top view as shown in the drawing. Can anyone help me please? Is there a way to do it with surfaces? I have tried to understand how to do it with surfaces and failed. My attempt is here https://cad.onshape.com/documents/094ddb7d8bdc4b731e51e6d6/w/cbef69bf599d7476864ca799/e/f387af588085c04fab80fac4?renderMode=0&uiState=68c43cbcc80035caf298105a
Comments
Start with just a curved face, preferably the lower face of the seat. It is probalbly a constant radius, so it is a cylinder segment or maybe two. Easy to do. Make it overly large. Than create the top view, and project it to get the curved shape and only add the thickness then.
https://cad.onshape.com/documents/31a8395408e5279cfb4ce09f/w/cd5f19aa8f95f49b15f21413/e/751be52594fcc1dc3f73dbf9?renderMode=0&uiState=68c80469b14d8b5dc7f90b8e