Finding the Fourth Proportional to 10,614.18, 15,921.09 and 3,688.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,614.18 : 15,921.09 = 3,688.50 : x
2. Step 2: Convert to fraction form
   10,614.18/15,921.09 = 3,688.50/x
3. Step 3: Cross multiply
   10,614.18x = 15,921.09 × 3,688.50
4. Step 4: Simplify right side
   10,614.18x = 58,724,940.47
5. Step 5: Solve for x
   x = 58,724,940.47/10,614.18
6. Step 6: Final answer
   x = 5,532.69