Finding the Fourth Proportional to 6,589.82, 9,883.82 and 2,429.83

Step by Step Solution

1. Step 1: Write the proportion equation
   6,589.82 : 9,883.82 = 2,429.83 : x
2. Step 2: Convert to fraction form
   6,589.82/9,883.82 = 2,429.83/x
3. Step 3: Cross multiply
   6,589.82x = 9,883.82 × 2,429.83
4. Step 4: Simplify right side
   6,589.82x = 24,016,020.78
5. Step 5: Solve for x
   x = 24,016,020.78/6,589.82
6. Step 6: Final answer
   x = 3,644.41