Finding the Fourth Proportional to 2,256.92, 3,384.91 and 869.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,256.92 : 3,384.91 = 869.78 : x
2. Step 2: Convert to fraction form
   2,256.92/3,384.91 = 869.78/x
3. Step 3: Cross multiply
   2,256.92x = 3,384.91 × 869.78
4. Step 4: Simplify right side
   2,256.92x = 2,944,127.02
5. Step 5: Solve for x
   x = 2,944,127.02/2,256.92
6. Step 6: Final answer
   x = 1,304.49