How to prove $T(n) = Tleft(frac n4right) + Tleft(frac{3n}4right) + n$ is $mathcal O(nlog n)$ using induction?

How would you go about proving the recursion

$$T(n) = T\left(\frac n4\right) + T\left(\frac{3n}4\right) + n$$ is $\mathcal O(n\log n)$ using induction?

Thanks!