Finding the Fourth Proportional to 10,200.48, 14,077.20 and 5,724

Step by Step Solution

1. Step 1: Write the proportion equation
   10,200.48 : 14,077.20 = 5,724 : x
2. Step 2: Convert to fraction form
   10,200.48/14,077.20 = 5,724/x
3. Step 3: Cross multiply
   10,200.48x = 14,077.20 × 5,724
4. Step 4: Simplify right side
   10,200.48x = 80,577,892.80
5. Step 5: Solve for x
   x = 80,577,892.80/10,200.48
6. Step 6: Final answer
   x = 7,899.42