Finding the Fourth Proportional to 6,443.76, 9,644.72 and 3,478.08

Step by Step Solution

1. Step 1: Write the proportion equation
   6,443.76 : 9,644.72 = 3,478.08 : x
2. Step 2: Convert to fraction form
   6,443.76/9,644.72 = 3,478.08/x
3. Step 3: Cross multiply
   6,443.76x = 9,644.72 × 3,478.08
4. Step 4: Simplify right side
   6,443.76x = 33,545,107.74
5. Step 5: Solve for x
   x = 33,545,107.74/6,443.76
6. Step 6: Final answer
   x = 5,205.83