Finding the Fourth Proportional to 6,333.75, 9,496.53 and 3,414.15

Step by Step Solution

1. Step 1: Write the proportion equation
   6,333.75 : 9,496.53 = 3,414.15 : x
2. Step 2: Convert to fraction form
   6,333.75/9,496.53 = 3,414.15/x
3. Step 3: Cross multiply
   6,333.75x = 9,496.53 × 3,414.15
4. Step 4: Simplify right side
   6,333.75x = 32,422,577.90
5. Step 5: Solve for x
   x = 32,422,577.90/6,333.75
6. Step 6: Final answer
   x = 5,119.02