Finding the Fourth Proportional to 6,411.46, 8,847.42 and 3,578.65

Step by Step Solution

1. Step 1: Write the proportion equation
   6,411.46 : 8,847.42 = 3,578.65 : x
2. Step 2: Convert to fraction form
   6,411.46/8,847.42 = 3,578.65/x
3. Step 3: Cross multiply
   6,411.46x = 8,847.42 × 3,578.65
4. Step 4: Simplify right side
   6,411.46x = 31,661,819.58
5. Step 5: Solve for x
   x = 31,661,819.58/6,411.46
6. Step 6: Final answer
   x = 4,938.32