Finding the Fourth Proportional to 8,205.75, 12,309.50 and 2,282.62

Step by Step Solution

1. Step 1: Write the proportion equation
   8,205.75 : 12,309.50 = 2,282.62 : x
2. Step 2: Convert to fraction form
   8,205.75/12,309.50 = 2,282.62/x
3. Step 3: Cross multiply
   8,205.75x = 12,309.50 × 2,282.62
4. Step 4: Simplify right side
   8,205.75x = 28,097,910.89
5. Step 5: Solve for x
   x = 28,097,910.89/8,205.75
6. Step 6: Final answer
   x = 3,424.17