Finding the Fourth Proportional to 10,016.92, 13,823.62 and 5,540.68

Step by Step Solution

1. Step 1: Write the proportion equation
   10,016.92 : 13,823.62 = 5,540.68 : x
2. Step 2: Convert to fraction form
   10,016.92/13,823.62 = 5,540.68/x
3. Step 3: Cross multiply
   10,016.92x = 13,823.62 × 5,540.68
4. Step 4: Simplify right side
   10,016.92x = 76,592,254.86
5. Step 5: Solve for x
   x = 76,592,254.86/10,016.92
6. Step 6: Final answer
   x = 7,646.29