Finding the Fourth Proportional to 9,787.58, 14,687.56 and 5,116.02

Step by Step Solution

1. Step 1: Write the proportion equation
   9,787.58 : 14,687.56 = 5,116.02 : x
2. Step 2: Convert to fraction form
   9,787.58/14,687.56 = 5,116.02/x
3. Step 3: Cross multiply
   9,787.58x = 14,687.56 × 5,116.02
4. Step 4: Simplify right side
   9,787.58x = 75,141,850.71
5. Step 5: Solve for x
   x = 75,141,850.71/9,787.58
6. Step 6: Final answer
   x = 7,677.27