Answer
$L = 1.6~m$
Work Step by Step
Note that $y_4 = 2.0~cm$
We can find the distance $L$ from the slits to the screen:
$y_m = \frac{m~\lambda~L}{d}$
$L = \frac{y_m~d}{m~\lambda}$
$L = \frac{(0.020~m)~(0.20\times 10^{-3}~m)}{(4)~(620\times 10^{-9}~m)}$
$L = 1.6~m$