Finding the Fourth Proportional to 10,202.24, 14,077.72 and 5,725.73

Step by Step Solution

1. Step 1: Write the proportion equation
   10,202.24 : 14,077.72 = 5,725.73 : x
2. Step 2: Convert to fraction form
   10,202.24/14,077.72 = 5,725.73/x
3. Step 3: Cross multiply
   10,202.24x = 14,077.72 × 5,725.73
4. Step 4: Simplify right side
   10,202.24x = 80,605,244.62
5. Step 5: Solve for x
   x = 80,605,244.62/10,202.24
6. Step 6: Final answer
   x = 7,900.74