Finding the Fourth Proportional to 10,016.65, 13,822.81 and 5,540.39

Step by Step Solution

1. Step 1: Write the proportion equation
   10,016.65 : 13,822.81 = 5,540.39 : x
2. Step 2: Convert to fraction form
   10,016.65/13,822.81 = 5,540.39/x
3. Step 3: Cross multiply
   10,016.65x = 13,822.81 × 5,540.39
4. Step 4: Simplify right side
   10,016.65x = 76,583,758.30
5. Step 5: Solve for x
   x = 76,583,758.30/10,016.65
6. Step 6: Final answer
   x = 7,645.65