Finding the Fourth Proportional to 10,016.82, 13,822.02 and 5,539.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,016.82 : 13,822.02 = 5,539.96 : x
2. Step 2: Convert to fraction form
   10,016.82/13,822.02 = 5,539.96/x
3. Step 3: Cross multiply
   10,016.82x = 13,822.02 × 5,539.96
4. Step 4: Simplify right side
   10,016.82x = 76,573,437.92
5. Step 5: Solve for x
   x = 76,573,437.92/10,016.82
6. Step 6: Final answer
   x = 7,644.49