Finding the Fourth Proportional to 10,016.56, 13,821.92 and 5,540.19

Step by Step Solution

1. Step 1: Write the proportion equation
   10,016.56 : 13,821.92 = 5,540.19 : x
2. Step 2: Convert to fraction form
   10,016.56/13,821.92 = 5,540.19/x
3. Step 3: Cross multiply
   10,016.56x = 13,821.92 × 5,540.19
4. Step 4: Simplify right side
   10,016.56x = 76,576,062.96
5. Step 5: Solve for x
   x = 76,576,062.96/10,016.56
6. Step 6: Final answer
   x = 7,644.95