Finding the Fourth Proportional to 2,002.78, 3,004.22 and 686.53

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.78 : 3,004.22 = 686.53 : x
2. Step 2: Convert to fraction form
   2,002.78/3,004.22 = 686.53/x
3. Step 3: Cross multiply
   2,002.78x = 3,004.22 × 686.53
4. Step 4: Simplify right side
   2,002.78x = 2,062,474.91
5. Step 5: Solve for x
   x = 2,062,474.91/2,002.78
6. Step 6: Final answer
   x = 1,029.80