Answer
The x-coordinate of the center of mass is $0.854~m$. The system balances because the center of mass is above the table.
Work Step by Step
Let $M$ be the mass of each meter-stick. We can find the x-coordinate of the center of mass:
$x_{com} = \frac{M(0.50~m)+M(0.8333~m)+M(1.0~m)+M(1.0833~m)}{4M}$
$x_{com} = 0.854~m$
The x-coordinate of the center of mass is $0.854~m$. The system balances because the center of mass is above the table.
