Finding the Fourth Proportional to 10,016.43, 13,822.88 and 5,540.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,016.43 : 13,822.88 = 5,540.60 : x
2. Step 2: Convert to fraction form
   10,016.43/13,822.88 = 5,540.60/x
3. Step 3: Cross multiply
   10,016.43x = 13,822.88 × 5,540.60
4. Step 4: Simplify right side
   10,016.43x = 76,587,048.93
5. Step 5: Solve for x
   x = 76,587,048.93/10,016.43
6. Step 6: Final answer
   x = 7,646.14