Question $2(10$ points$)$

A uniform plank of length $5\mathrm{.}38$ m and weight $205$ N rests horizontally on two supports, with $1\mathrm{.}1$ m of the plank hanging over the right support $($see the drawing$).$ To what distance $x($meters$)$ can a person who weighs $412$ N walk on the overhanging part of the plank before it just begins to tip?

Hint: The center of gravity of the plank is in the middle. When the plank just begins to tip, the force exerted on the plank by the left fulcrum is zero.

Show your answer to two decimal places: for example, $0\mathrm{.}70.$

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