Finding the Fourth Proportional to 10,016.49, 13,822.70 and 5,540.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,016.49 : 13,822.70 = 5,540.16 : x
2. Step 2: Convert to fraction form
   10,016.49/13,822.70 = 5,540.16/x
3. Step 3: Cross multiply
   10,016.49x = 13,822.70 × 5,540.16
4. Step 4: Simplify right side
   10,016.49x = 76,579,941.93
5. Step 5: Solve for x
   x = 76,579,941.93/10,016.49
6. Step 6: Final answer
   x = 7,645.39