Finding the Fourth Proportional to 10,016.90, 13,823.69 and 5,540.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,016.90 : 13,823.69 = 5,540.69 : x
2. Step 2: Convert to fraction form
   10,016.90/13,823.69 = 5,540.69/x
3. Step 3: Cross multiply
   10,016.90x = 13,823.69 × 5,540.69
4. Step 4: Simplify right side
   10,016.90x = 76,592,780.95
5. Step 5: Solve for x
   x = 76,592,780.95/10,016.90
6. Step 6: Final answer
   x = 7,646.36