Finding the Fourth Proportional to 10,016.83, 13,822.01 and 5,539.97

Step by Step Solution

1. Step 1: Write the proportion equation
   10,016.83 : 13,822.01 = 5,539.97 : x
2. Step 2: Convert to fraction form
   10,016.83/13,822.01 = 5,539.97/x
3. Step 3: Cross multiply
   10,016.83x = 13,822.01 × 5,539.97
4. Step 4: Simplify right side
   10,016.83x = 76,573,527.59
5. Step 5: Solve for x
   x = 76,573,527.59/10,016.83
6. Step 6: Final answer
   x = 7,644.49