Explanation:

- Option 1: through

- This implies entering on one side and exiting on the other, moving within or between parts of something. It would suggest he moved amidst the field, which isn't the best fit for catching a ball in an open space.

- Option 2: across

- This suggests moving from one side to the other, in a straight line, which aligns well with the action of running through an open field to catch a ball.

- Correct Answer

- Option 3: besides

- This means "next to" or "alongside," which indicates proximity, not suited for the context of running across a field.

- Option 4: over

- Means traversing above something, like jumping or flying, rather than running on a surface, not appropriate here.