Making smooth/bended surfaces when fillet won't do the job

Hello everyone!

I have recieved a project from a company that wanted me to show my skills before the actually hire me.

The company designs and manufacture furniture, and they basically wanted me to mesure a couch and re-design it in solidworks.

Now, I have managed to get the general design in place, but some of the design looks really ugly because the faces and surcaces are too flat.

I have tried to use the Dome feature but it isn't behaving as expected for this particular project.

After trying, and trying, and trying, I finally come to you guys in hope to get some help.

Below are two pictures that demonstrate what is wrong with the couch, and what I would like to do is to smooth out the flat surfaces.

Fillet, does NOT fix the problem.

SolidworksSurfacing