Finding the Fourth Proportional to 10,017.13, 13,823.09 and 5,540.62

Step by Step Solution

1. Step 1: Write the proportion equation
   10,017.13 : 13,823.09 = 5,540.62 : x
2. Step 2: Convert to fraction form
   10,017.13/13,823.09 = 5,540.62/x
3. Step 3: Cross multiply
   10,017.13x = 13,823.09 × 5,540.62
4. Step 4: Simplify right side
   10,017.13x = 76,588,488.92
5. Step 5: Solve for x
   x = 76,588,488.92/10,017.13
6. Step 6: Final answer
   x = 7,645.75