Load your File

Select All the ring then Separate! ;)

Cick on the empty Space for Deselect

Select the 4 curvated Surfaces(by clicking one by one) wanted to deform

At the end of this 4 selection "Show Points"

You must have all ring "Show Pointed" + 4 Surfaces "Pointed" enlighted

Press Tab & Write SchrinkTrimmedSrf

You must have only 4 surfaces Pointed!

If you have not enough Points just Add Points as you want (always on these 4 surfaces)

Have fun modeling!

PS

If you want all ring as "Show pointed" don't make the 4 Surfaces Selection and the SchrinkTrimmedSrf
then click a big Surface then move points etc...the 4 Surfaces must be separated again for moving points shown!