Finding the Fourth Proportional to 10,151.92, 14,009.08 and 5,614.34

Step by Step Solution

1. Step 1: Write the proportion equation
   10,151.92 : 14,009.08 = 5,614.34 : x
2. Step 2: Convert to fraction form
   10,151.92/14,009.08 = 5,614.34/x
3. Step 3: Cross multiply
   10,151.92x = 14,009.08 × 5,614.34
4. Step 4: Simplify right side
   10,151.92x = 78,651,689.15
5. Step 5: Solve for x
   x = 78,651,689.15/10,151.92
6. Step 6: Final answer
   x = 7,747.47