Finding the Fourth Proportional to 10,040.32, 13,854.86 and 5,563.97

Step by Step Solution

1. Step 1: Write the proportion equation
   10,040.32 : 13,854.86 = 5,563.97 : x
2. Step 2: Convert to fraction form
   10,040.32/13,854.86 = 5,563.97/x
3. Step 3: Cross multiply
   10,040.32x = 13,854.86 × 5,563.97
4. Step 4: Simplify right side
   10,040.32x = 77,088,025.39
5. Step 5: Solve for x
   x = 77,088,025.39/10,040.32
6. Step 6: Final answer
   x = 7,677.85