Finding the Fourth Proportional to 2,146.62, 3,218.76 and 685.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,146.62 : 3,218.76 = 685.38 : x
2. Step 2: Convert to fraction form
   2,146.62/3,218.76 = 685.38/x
3. Step 3: Cross multiply
   2,146.62x = 3,218.76 × 685.38
4. Step 4: Simplify right side
   2,146.62x = 2,206,073.73
5. Step 5: Solve for x
   x = 2,206,073.73/2,146.62
6. Step 6: Final answer
   x = 1,027.70