Finding the Fourth Proportional to 102.50, 141.54 and 76.76

Step by Step Solution

1. Step 1: Write the proportion equation
   102.50 : 141.54 = 76.76 : x
2. Step 2: Convert to fraction form
   102.50/141.54 = 76.76/x
3. Step 3: Cross multiply
   102.50x = 141.54 × 76.76
4. Step 4: Simplify right side
   102.50x = 10,864.61
5. Step 5: Solve for x
   x = 10,864.61/102.50
6. Step 6: Final answer
   x = 106.00