Finding the Fourth Proportional to 10,252.20, 14,147.96 and 5,777.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,252.20 : 14,147.96 = 5,777.38 : x
2. Step 2: Convert to fraction form
   10,252.20/14,147.96 = 5,777.38/x
3. Step 3: Cross multiply
   10,252.20x = 14,147.96 × 5,777.38
4. Step 4: Simplify right side
   10,252.20x = 81,738,215.86
5. Step 5: Solve for x
   x = 81,738,215.86/10,252.20
6. Step 6: Final answer
   x = 7,972.75