Finding the Fourth Proportional to 91.71, 137.50 and 30.83

Step by Step Solution

1. Step 1: Write the proportion equation
   91.71 : 137.50 = 30.83 : x
2. Step 2: Convert to fraction form
   91.71/137.50 = 30.83/x
3. Step 3: Cross multiply
   91.71x = 137.50 × 30.83
4. Step 4: Simplify right side
   91.71x = 4,238.28
5. Step 5: Solve for x
   x = 4,238.28/91.71
6. Step 6: Final answer
   x = 46.21