Finding the Fourth Proportional to 10,017.50, 13,823.06 and 5,540.54

Step by Step Solution

1. Step 1: Write the proportion equation
   10,017.50 : 13,823.06 = 5,540.54 : x
2. Step 2: Convert to fraction form
   10,017.50/13,823.06 = 5,540.54/x
3. Step 3: Cross multiply
   10,017.50x = 13,823.06 × 5,540.54
4. Step 4: Simplify right side
   10,017.50x = 76,587,120.03
5. Step 5: Solve for x
   x = 76,587,120.03/10,017.50
6. Step 6: Final answer
   x = 7,645.34