Finding the Fourth Proportional to 10,200.88, 14,077 and 5,724.72

Step by Step Solution

1. Step 1: Write the proportion equation
   10,200.88 : 14,077 = 5,724.72 : x
2. Step 2: Convert to fraction form
   10,200.88/14,077 = 5,724.72/x
3. Step 3: Cross multiply
   10,200.88x = 14,077 × 5,724.72
4. Step 4: Simplify right side
   10,200.88x = 80,586,883.44
5. Step 5: Solve for x
   x = 80,586,883.44/10,200.88
6. Step 6: Final answer
   x = 7,899.99