Finding the Fourth Proportional to 10,016.26, 13,823.32 and 5,540.74

Step by Step Solution

1. Step 1: Write the proportion equation
   10,016.26 : 13,823.32 = 5,540.74 : x
2. Step 2: Convert to fraction form
   10,016.26/13,823.32 = 5,540.74/x
3. Step 3: Cross multiply
   10,016.26x = 13,823.32 × 5,540.74
4. Step 4: Simplify right side
   10,016.26x = 76,591,422.06
5. Step 5: Solve for x
   x = 76,591,422.06/10,016.26
6. Step 6: Final answer
   x = 7,646.71