Finding the Fourth Proportional to 9,532.18, 14,294.55 and 3,205.78

Step by Step Solution

1. Step 1: Write the proportion equation
   9,532.18 : 14,294.55 = 3,205.78 : x
2. Step 2: Convert to fraction form
   9,532.18/14,294.55 = 3,205.78/x
3. Step 3: Cross multiply
   9,532.18x = 14,294.55 × 3,205.78
4. Step 4: Simplify right side
   9,532.18x = 45,825,182.50
5. Step 5: Solve for x
   x = 45,825,182.50/9,532.18
6. Step 6: Final answer
   x = 4,807.42