  Let $\mathcal{C}$ be a self-dual spherical fusion categories of rank $4$ with
non-trivial grading. We complete the classification of Grothendieck ring
$K(\mathcal{C})$ of $\mathcal{C}$; that is, we prove that $K(\mathcal{C})\cong
Fib\otimes\mathbb{Z}[\mathbb{Z}_2]$, where $Fib$ is the Fibonacci fusion ring
and $\mathbb{Z}[\mathbb{Z}_2]$ is the group ring on $\mathbb{Z}_2$. In
particular, if $\mathcal{C}$ is braided then it is equivalent to
$\textbf{Fib}\boxtimes\textbf{Vec}_{\mathbb{Z}_2}^{\omega}$ as fusion
categories, where $\textbf{Fib}$ is a Fibonacci category and
$\textbf{Vec}_{\mathbb{Z}_2}^{\omega}$ is a rank $2$ pointed fusion category.
