Is there a way to create a boundary, loft, or sweep with these two curves?

I'm trying to figure out a way to create a surface (or solid) using the two curved sketches on top of my part. Both parts are equation driven (right curve: y=1.12717*sqr(x) left curve: y=1.04779*sqr(x)) and I have no idea how to create a surface or solid with the boundary, loft, or sweep feature.

I would like the top of my part to look like this:

But for it to cover the whole cross-section. Also, would it be better if I used only one of the sketches?

To summarize my issue another way is that I believe I am trying to do a sweep or loft that is not uniform.

-Andrew

SolidworksParts And Features