Finding the Fourth Proportional to 10,200.61, 14,076.99 and 5,724.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,200.61 : 14,076.99 = 5,724.10 : x
2. Step 2: Convert to fraction form
   10,200.61/14,076.99 = 5,724.10/x
3. Step 3: Cross multiply
   10,200.61x = 14,076.99 × 5,724.10
4. Step 4: Simplify right side
   10,200.61x = 80,578,098.46
5. Step 5: Solve for x
   x = 80,578,098.46/10,200.61
6. Step 6: Final answer
   x = 7,899.34