Finding the Fourth Proportional to 1,609.55, 2,414.50 and 685.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,609.55 : 2,414.50 = 685.20 : x
2. Step 2: Convert to fraction form
   1,609.55/2,414.50 = 685.20/x
3. Step 3: Cross multiply
   1,609.55x = 2,414.50 × 685.20
4. Step 4: Simplify right side
   1,609.55x = 1,654,422.25
5. Step 5: Solve for x
   x = 1,654,422.25/1,609.55
6. Step 6: Final answer
   x = 1,027.88