Finding the Fourth Proportional to 10,864.10, 16,234.17 and 9,114.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,864.10 : 16,234.17 = 9,114.50 : x
2. Step 2: Convert to fraction form
   10,864.10/16,234.17 = 9,114.50/x
3. Step 3: Cross multiply
   10,864.10x = 16,234.17 × 9,114.50
4. Step 4: Simplify right side
   10,864.10x = 147,966,342.47
5. Step 5: Solve for x
   x = 147,966,342.47/10,864.10
6. Step 6: Final answer
   x = 13,619.75