Finding the Fourth Proportional to 10,254.17, 14,151.42 and 5,777.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,254.17 : 14,151.42 = 5,777.50 : x
2. Step 2: Convert to fraction form
   10,254.17/14,151.42 = 5,777.50/x
3. Step 3: Cross multiply
   10,254.17x = 14,151.42 × 5,777.50
4. Step 4: Simplify right side
   10,254.17x = 81,759,829.05
5. Step 5: Solve for x
   x = 81,759,829.05/10,254.17
6. Step 6: Final answer
   x = 7,973.32