1. The problem is to find the fourth root of 654, which is written as $\sqrt[4]{654}$. 2. The fourth root of a number $x$ is a value $y$ such that $y^4 = x$. 3. To calculate $\sqrt[4]{654}$, you can use a calculator or approximate it by finding a number which when raised to the power 4 gives 654. 4. Using a calculator, $\sqrt[4]{654} \approx 5.27$. 5. This means $5.27^4 \approx 654$. 6. So, the answer is approximately $5.27$.