Finding the Fourth Proportional to 91.91, 137.77 and 75.71

Step by Step Solution

1. Step 1: Write the proportion equation
   91.91 : 137.77 = 75.71 : x
2. Step 2: Convert to fraction form
   91.91/137.77 = 75.71/x
3. Step 3: Cross multiply
   91.91x = 137.77 × 75.71
4. Step 4: Simplify right side
   91.91x = 10,429.50
5. Step 5: Solve for x
   x = 10,429.50/91.91
6. Step 6: Final answer
   x = 113.48