Find the value of $\mathrm{x}$ in the proportion. Check your answer. \[ \frac{x}{26}=\frac{14}{13} \] The solution set is (Type an integer or a simplified fraction.)

Step 1 ：The given equation is a proportion, which means the two ratios are equal. To find the value of x, we can cross-multiply and solve for x.

Step 2 ：Cross-multiplying gives us the equation \(x = 14 \times 26 / 13\).

Step 3 ：Solving this equation gives us \(x = 28\).

Step 4 ：Final Answer: The solution to the equation is \(\boxed{28}\).