Finding the Fourth Proportional to 2,282.84, 3,423.82 and 966.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,282.84 : 3,423.82 = 966.16 : x
2. Step 2: Convert to fraction form
   2,282.84/3,423.82 = 966.16/x
3. Step 3: Cross multiply
   2,282.84x = 3,423.82 × 966.16
4. Step 4: Simplify right side
   2,282.84x = 3,307,957.93
5. Step 5: Solve for x
   x = 3,307,957.93/2,282.84
6. Step 6: Final answer
   x = 1,449.05