Finding the Fourth Proportional to 10,254.38, 14,151.15 and 5,778.12

Step by Step Solution

1. Step 1: Write the proportion equation
   10,254.38 : 14,151.15 = 5,778.12 : x
2. Step 2: Convert to fraction form
   10,254.38/14,151.15 = 5,778.12/x
3. Step 3: Cross multiply
   10,254.38x = 14,151.15 × 5,778.12
4. Step 4: Simplify right side
   10,254.38x = 81,767,042.84
5. Step 5: Solve for x
   x = 81,767,042.84/10,254.38
6. Step 6: Final answer
   x = 7,973.87