Solve the proportion. \[ \frac{8}{x}=\frac{4}{5} \] The solution set is (Type an integer or a simplified fraction.)

Step 1 ：Cross multiply to get rid of the fractions: \(8 * 5 = x * 4\).

Step 2 ：Simplify to find the value of x: \(x = \frac{8 * 5}{4}\).

Step 3 ：Calculate the value of x: \(x = 10\).

Step 4 ：Substitute x = 10 into the original equation to verify the solution: \(\frac{8}{10} = \frac{4}{5}\).

Step 5 ：Since both sides of the equation are equal, the solution is correct.

Step 6 ：Final Answer: The solution to the proportion is \(\boxed{10}\).