Finding the Fourth Proportional to 2,257.72, 3,384.98 and 869.89

Step by Step Solution

1. Step 1: Write the proportion equation
   2,257.72 : 3,384.98 = 869.89 : x
2. Step 2: Convert to fraction form
   2,257.72/3,384.98 = 869.89/x
3. Step 3: Cross multiply
   2,257.72x = 3,384.98 × 869.89
4. Step 4: Simplify right side
   2,257.72x = 2,944,560.25
5. Step 5: Solve for x
   x = 2,944,560.25/2,257.72
6. Step 6: Final answer
   x = 1,304.22