Finding the Fourth Proportional to 9,096.62, 12,553.49 and 5,952.78

Step by Step Solution

1. Step 1: Write the proportion equation
   9,096.62 : 12,553.49 = 5,952.78 : x
2. Step 2: Convert to fraction form
   9,096.62/12,553.49 = 5,952.78/x
3. Step 3: Cross multiply
   9,096.62x = 12,553.49 × 5,952.78
4. Step 4: Simplify right side
   9,096.62x = 74,728,179.08
5. Step 5: Solve for x
   x = 74,728,179.08/9,096.62
6. Step 6: Final answer
   x = 8,214.94