Finding the Fourth Proportional to 10,854.07, 14,978.42 and 6,138.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,854.07 : 14,978.42 = 6,138.25 : x
2. Step 2: Convert to fraction form
   10,854.07/14,978.42 = 6,138.25/x
3. Step 3: Cross multiply
   10,854.07x = 14,978.42 × 6,138.25
4. Step 4: Simplify right side
   10,854.07x = 91,941,241.45
5. Step 5: Solve for x
   x = 91,941,241.45/10,854.07
6. Step 6: Final answer
   x = 8,470.67