Finding the Fourth Proportional to 10,854.28, 14,978.91 and 6,138.46

Step by Step Solution

1. Step 1: Write the proportion equation
   10,854.28 : 14,978.91 = 6,138.46 : x
2. Step 2: Convert to fraction form
   10,854.28/14,978.91 = 6,138.46/x
3. Step 3: Cross multiply
   10,854.28x = 14,978.91 × 6,138.46
4. Step 4: Simplify right side
   10,854.28x = 91,947,439.88
5. Step 5: Solve for x
   x = 91,947,439.88/10,854.28
6. Step 6: Final answer
   x = 8,471.08