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Value, Direction, and Balancing a Resultant Force

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There are three people pushing on a box, as illustrated. Each of the three forces is 45 degrees from the x and y axes (there is no friction between the box and the floor).

Picture of box is attached. The arrows are NOT to scale.

a. Find the value and direction of the resultant force.
b. What single force could be added to the box by a fourth person, to balance the resultant force?

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https://brainmass.com/physics/newtons-laws/value-direction-balancing-resultant-force-68745

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Solution provides equations to find the value and direction of a resultant force, as well as what single force could be added to the box by a fourth person, in order to balance the resultant force. Expert only provides equations.

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Also take crank radius as being 200mm

Show workings and calculations (simple drawing attached)

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