Finding the Fourth Proportional to 10,016.38, 13,822.05 and 5,539.87

Step by Step Solution

1. Step 1: Write the proportion equation
   10,016.38 : 13,822.05 = 5,539.87 : x
2. Step 2: Convert to fraction form
   10,016.38/13,822.05 = 5,539.87/x
3. Step 3: Cross multiply
   10,016.38x = 13,822.05 × 5,539.87
4. Step 4: Simplify right side
   10,016.38x = 76,572,360.13
5. Step 5: Solve for x
   x = 76,572,360.13/10,016.38
6. Step 6: Final answer
   x = 7,644.71