I need coordinates of intersection of two lines that intersect

I need the coordinates of the intersection, where lines cross the railroad geometry.

With SpatialFilter/SpatialRelator I can isolate the lines (from a larger dataset than shown here). 

But I cannot identify the coordinates of the intersection.
In the drawing the red dots are the points I need, they are handdrawn for explation.

Any ideas as to what I could do?

Thank you :)