Finding the Fourth Proportional to 6,339.83, 9,512.42 and 3,414.69

Step by Step Solution

1. Step 1: Write the proportion equation
   6,339.83 : 9,512.42 = 3,414.69 : x
2. Step 2: Convert to fraction form
   6,339.83/9,512.42 = 3,414.69/x
3. Step 3: Cross multiply
   6,339.83x = 9,512.42 × 3,414.69
4. Step 4: Simplify right side
   6,339.83x = 32,481,948.38
5. Step 5: Solve for x
   x = 32,481,948.38/6,339.83
6. Step 6: Final answer
   x = 5,123.48