Finding the Fourth Proportional to 10,016.82, 13,823.10 and 5,540.67

Step by Step Solution

1. Step 1: Write the proportion equation
   10,016.82 : 13,823.10 = 5,540.67 : x
2. Step 2: Convert to fraction form
   10,016.82/13,823.10 = 5,540.67/x
3. Step 3: Cross multiply
   10,016.82x = 13,823.10 × 5,540.67
4. Step 4: Simplify right side
   10,016.82x = 76,589,235.48
5. Step 5: Solve for x
   x = 76,589,235.48/10,016.82
6. Step 6: Final answer
   x = 7,646.06