Freeform Intersection? How?

 From:  propmaster (PWWHDR70)
9263.1 
Here's a problem I run into from time to time, so I thought I'd ask.

This is the outline of the shape I want.



It's a specific object, so I have accurate measurements. What I'm trying to do is get the yellow line to intersect with the blue one using Point movement. I can get it close, but there's a bit of a gap between them.



Is there a better way to do this?

I've enclosed the file in the attachments.