Finding the Fourth Proportional to 1,610.26, 2,414.25 and 685.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,610.26 : 2,414.25 = 685.34 : x
2. Step 2: Convert to fraction form
   1,610.26/2,414.25 = 685.34/x
3. Step 3: Cross multiply
   1,610.26x = 2,414.25 × 685.34
4. Step 4: Simplify right side
   1,610.26x = 1,654,582.10
5. Step 5: Solve for x
   x = 1,654,582.10/1,610.26
6. Step 6: Final answer
   x = 1,027.52