Calculate steel beam HEA or HEB

[B Sundberg]

What can an HEA 100 or 120 beam support for lifting?

I need to lift an engine weighing 700kg with a tractor that has forks that are too short.
I need to extend the forks (which are 120cm) by 180cm and hope someone can calculate what type of beam is needed?

Attached is a picture of what I have in mind:

 

[Stefan1972]

Not my department, but what can the forks handle then? 700kg 3 meters out is quite a load.

 

[B Sundberg]

Not my department, but what can the forks handle then? 700kg 3 meters out is quite a load.

It's not actually the forks I'm attaching the beam to, but a type of strong "hook-gizmo," see picture from the previous lift with a somewhat wobbly "beam."