Finding the Fourth Proportional to 10,016.33, 13,821.30 and 5,539.46

Step by Step Solution

1. Step 1: Write the proportion equation
   10,016.33 : 13,821.30 = 5,539.46 : x
2. Step 2: Convert to fraction form
   10,016.33/13,821.30 = 5,539.46/x
3. Step 3: Cross multiply
   10,016.33x = 13,821.30 × 5,539.46
4. Step 4: Simplify right side
   10,016.33x = 76,562,469.39
5. Step 5: Solve for x
   x = 76,562,469.39/10,016.33
6. Step 6: Final answer
   x = 7,643.77