Finding the Fourth Proportional to 10,854, 14,978.52 and 6,138.18

Step by Step Solution

1. Step 1: Write the proportion equation
   10,854 : 14,978.52 = 6,138.18 : x
2. Step 2: Convert to fraction form
   10,854/14,978.52 = 6,138.18/x
3. Step 3: Cross multiply
   10,854x = 14,978.52 × 6,138.18
4. Step 4: Simplify right side
   10,854x = 91,940,851.89
5. Step 5: Solve for x
   x = 91,940,851.89/10,854
6. Step 6: Final answer
   x = 8,470.69