Finding the Fourth Proportional to 10,202.56, 14,078.88 and 5,725.48

Step by Step Solution

1. Step 1: Write the proportion equation
   10,202.56 : 14,078.88 = 5,725.48 : x
2. Step 2: Convert to fraction form
   10,202.56/14,078.88 = 5,725.48/x
3. Step 3: Cross multiply
   10,202.56x = 14,078.88 × 5,725.48
4. Step 4: Simplify right side
   10,202.56x = 80,608,345.86
5. Step 5: Solve for x
   x = 80,608,345.86/10,202.56
6. Step 6: Final answer
   x = 7,900.80