Finding the Fourth Proportional to 10,200.16, 14,076.84 and 5,724.28

Step by Step Solution

1. Step 1: Write the proportion equation
   10,200.16 : 14,076.84 = 5,724.28 : x
2. Step 2: Convert to fraction form
   10,200.16/14,076.84 = 5,724.28/x
3. Step 3: Cross multiply
   10,200.16x = 14,076.84 × 5,724.28
4. Step 4: Simplify right side
   10,200.16x = 80,579,773.68
5. Step 5: Solve for x
   x = 80,579,773.68/10,200.16
6. Step 6: Final answer
   x = 7,899.85