TRS connector for noice cancelling headphones has 5 wires inside cable, instead of 4
First thing I'd do is closely examine that original plug.  Cut it apart if you have to - See inside and see if you can figure it out by examination.

That said, it'd take some knowledge of that particular headphone design to know exactly what each wire does.  

Is there insulation on the 'clear' looking wire???   If not, that may be a drain wire for the shield.