Finding the Fourth Proportional to 10,253.10, 14,149.31 and 5,777.02

Step by Step Solution

1. Step 1: Write the proportion equation
   10,253.10 : 14,149.31 = 5,777.02 : x
2. Step 2: Convert to fraction form
   10,253.10/14,149.31 = 5,777.02/x
3. Step 3: Cross multiply
   10,253.10x = 14,149.31 × 5,777.02
4. Step 4: Simplify right side
   10,253.10x = 81,740,846.86
5. Step 5: Solve for x
   x = 81,740,846.86/10,253.10
6. Step 6: Final answer
   x = 7,972.31