Finding the Fourth Proportional to 1,609.89, 2,414.19 and 685.47

Step by Step Solution

1. Step 1: Write the proportion equation
   1,609.89 : 2,414.19 = 685.47 : x
2. Step 2: Convert to fraction form
   1,609.89/2,414.19 = 685.47/x
3. Step 3: Cross multiply
   1,609.89x = 2,414.19 × 685.47
4. Step 4: Simplify right side
   1,609.89x = 1,654,854.82
5. Step 5: Solve for x
   x = 1,654,854.82/1,609.89
6. Step 6: Final answer
   x = 1,027.93