Finding the Fourth Proportional to 99.50, 137.50 and 76.17

Step by Step Solution

1. Step 1: Write the proportion equation
   99.50 : 137.50 = 76.17 : x
2. Step 2: Convert to fraction form
   99.50/137.50 = 76.17/x
3. Step 3: Cross multiply
   99.50x = 137.50 × 76.17
4. Step 4: Simplify right side
   99.50x = 10,473.38
5. Step 5: Solve for x
   x = 10,473.38/99.50
6. Step 6: Final answer
   x = 105.26