Finding the Fourth Proportional to 10,017.69, 13,823.20 and 5,540.83

Step by Step Solution

1. Step 1: Write the proportion equation
   10,017.69 : 13,823.20 = 5,540.83 : x
2. Step 2: Convert to fraction form
   10,017.69/13,823.20 = 5,540.83/x
3. Step 3: Cross multiply
   10,017.69x = 13,823.20 × 5,540.83
4. Step 4: Simplify right side
   10,017.69x = 76,592,001.26
5. Step 5: Solve for x
   x = 76,592,001.26/10,017.69
6. Step 6: Final answer
   x = 7,645.67