Finding the Fourth Proportional to 10,114.38, 15,159.09 and 7,186.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,114.38 : 15,159.09 = 7,186.50 : x
2. Step 2: Convert to fraction form
   10,114.38/15,159.09 = 7,186.50/x
3. Step 3: Cross multiply
   10,114.38x = 15,159.09 × 7,186.50
4. Step 4: Simplify right side
   10,114.38x = 108,940,800.29
5. Step 5: Solve for x
   x = 108,940,800.29/10,114.38
6. Step 6: Final answer
   x = 10,770.88