Finding the Fourth Proportional to 10,200.32, 14,077.14 and 5,724.44

Step by Step Solution

1. Step 1: Write the proportion equation
   10,200.32 : 14,077.14 = 5,724.44 : x
2. Step 2: Convert to fraction form
   10,200.32/14,077.14 = 5,724.44/x
3. Step 3: Cross multiply
   10,200.32x = 14,077.14 × 5,724.44
4. Step 4: Simplify right side
   10,200.32x = 80,583,743.30
5. Step 5: Solve for x
   x = 80,583,743.30/10,200.32
6. Step 6: Final answer
   x = 7,900.12