I agree with everything but I think you have an error on the the last picture.
But yes, summarizing, I use this simplified formula. Fin = sin(A) * F * L1/ (L1 +L2)
Fin= the final force
A= the angle
F=the Cylinder force
L1- the distance between the pivot and the end of the cylinder
L2 the distance between the end of the cylinder and the point where the force is acting.
I think you are wrong where you sketched that the 26.25"
It should be like this one correct? (My apologiesm I have removed the outlines of the cylinder base. But is where the red dot is

So in my last picture I get a force of 7850×sin(7.9)×16.24÷(16.24+3.94) = 868lbs
But yes, summarizing, I use this simplified formula. Fin = sin(A) * F * L1/ (L1 +L2)
Fin= the final force
A= the angle
F=the Cylinder force
L1- the distance between the pivot and the end of the cylinder
L2 the distance between the end of the cylinder and the point where the force is acting.
I think you are wrong where you sketched that the 26.25"
It should be like this one correct? (My apologiesm I have removed the outlines of the cylinder base. But is where the red dot is

So in my last picture I get a force of 7850×sin(7.9)×16.24÷(16.24+3.94) = 868lbs
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