Finding the Fourth Proportional to 10,016.64, 13,823.12 and 5,540.32

Step by Step Solution

1. Step 1: Write the proportion equation
   10,016.64 : 13,823.12 = 5,540.32 : x
2. Step 2: Convert to fraction form
   10,016.64/13,823.12 = 5,540.32/x
3. Step 3: Cross multiply
   10,016.64x = 13,823.12 × 5,540.32
4. Step 4: Simplify right side
   10,016.64x = 76,584,508.20
5. Step 5: Solve for x
   x = 76,584,508.20/10,016.64
6. Step 6: Final answer
   x = 7,645.73