Finding the Fourth Proportional to 10,254.33, 14,151.06 and 5,777.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,254.33 : 14,151.06 = 5,777.69 : x
2. Step 2: Convert to fraction form
   10,254.33/14,151.06 = 5,777.69/x
3. Step 3: Cross multiply
   10,254.33x = 14,151.06 × 5,777.69
4. Step 4: Simplify right side
   10,254.33x = 81,760,367.10
5. Step 5: Solve for x
   x = 81,760,367.10/10,254.33
6. Step 6: Final answer
   x = 7,973.25