Extending a Mesh to a Curve

Hi everbody,
I’m kink of stuck on a pretty stupid issue, I have this mesh that i need to extend to a certain curve. Already tried lofting, blending surfaces and patching.
Any ideas?
thanks in advance

wrong image

How to ask effective questions
3. Attach minimal versions of all the relevant files
If you have a gh file you have a question about, attach it to the post. Do not expect that people will recreate a file based on a screen-shot because that’s a lot of pointless work. It’s also a good idea to remove everything non-essential from a gh file. You can use the Internalise Data menu option to cut everything to the left of a parameter:

Simplifying a Grasshopper network

If you are referencing curves or breps or meshes from Rhino, you can also internalise them so you won’t have to post a 3dm file as well as a gh file. If you’re unsure whether all the relevant data is internal to the gh file, try opening it in an empty Rhino. Does it work? Good. No? You’ll need to internalise more.