Use the formula for finding a $z$-score to determine the missing value in the following table. Round your answer to two decimal places, if necessary. \begin{tabular}{|c|c|c|c|} \hline$z$ & $x$ & $\mu$ & $\sigma$ \\ \hline 1.86 & $?$ & 34.60 & 3.94 \\ \hline \end{tabular}

Step 1 ：We are given a table with a missing value 'x', and we are provided with the z-score, the mean (μ), and the standard deviation (σ). The table is as follows: \[\begin{tabular}{|c|c|c|c|} \hline z & x & μ & σ \\ \hline 1.86 & ? & 34.60 & 3.94 \\ \hline \end{tabular}\]

Step 2 ：We can use the formula for finding a z-score to determine the missing value 'x'. The formula is: \[z = \frac{x - μ}{σ}\]

Step 3 ：We can rearrange the formula to solve for 'x': \[x = zσ + μ\]

Step 4 ：Substitute the given values into the formula: \[x = 1.86 \times 3.94 + 34.6\]

Step 5 ：Solving the equation gives us the value of 'x': \[x = 41.9284\]

Step 6 ：Rounding to two decimal places, we get the final answer: \[\boxed{41.93}\]