Answer
The atomic weight of silicon is equal to $28.0855amu$.
Work Step by Step
Considering the natural abundance of silicon isotopes, we can obtain its atomic weight by following:
$Ar(Si)=0.9223\times27.9769amu+0.0467\times28.9765amu+0.0310\times29.9738amu=28.0855amu$
We need to multiple the natural abundance of each of the silicon isotopes by its mass and then calculate the sum of those products in order to obtain the atomic weight of silicon.