make a url rewrite to subnet in https

Hi, the customer ask for a proxy connection, from inside to internet with url rewrite. Something like that:

http://virtualip:7777    have to be rewrite to https://publicsubnet:44444/abc

where

• virtualip = 10.10.10.10

• publicsubnet = 100.100.100.0/24 (the internet site's IP depend from DNS resolution, it's anyway inside a /24)

• for the https a generic certificate it's enough

How can I configure my ltm ? I tryed Proxypass and policy but doesn't work. Someone can help ?

thanks