Finding the Fourth Proportional to 6,327.10, 9,496.46 and 3,209.28

Step by Step Solution

1. Step 1: Write the proportion equation
   6,327.10 : 9,496.46 = 3,209.28 : x
2. Step 2: Convert to fraction form
   6,327.10/9,496.46 = 3,209.28/x
3. Step 3: Cross multiply
   6,327.10x = 9,496.46 × 3,209.28
4. Step 4: Simplify right side
   6,327.10x = 30,476,799.15
5. Step 5: Solve for x
   x = 30,476,799.15/6,327.10
6. Step 6: Final answer
   x = 4,816.87