Finding the Fourth Proportional to 10,016.66, 13,823.24 and 5,540.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,016.66 : 13,823.24 = 5,540.50 : x
2. Step 2: Convert to fraction form
   10,016.66/13,823.24 = 5,540.50/x
3. Step 3: Cross multiply
   10,016.66x = 13,823.24 × 5,540.50
4. Step 4: Simplify right side
   10,016.66x = 76,587,633.52
5. Step 5: Solve for x
   x = 76,587,633.52/10,016.66
6. Step 6: Final answer
   x = 7,646.03