Finding the Fourth Proportional to 9,140.50, 12,614.43 and 5,162.05

Step by Step Solution

1. Step 1: Write the proportion equation
   9,140.50 : 12,614.43 = 5,162.05 : x
2. Step 2: Convert to fraction form
   9,140.50/12,614.43 = 5,162.05/x
3. Step 3: Cross multiply
   9,140.50x = 12,614.43 × 5,162.05
4. Step 4: Simplify right side
   9,140.50x = 65,116,318.38
5. Step 5: Solve for x
   x = 65,116,318.38/9,140.50
6. Step 6: Final answer
   x = 7,123.93