Finding the Fourth Proportional to 1,610.22, 2,413.59 and 685.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,610.22 : 2,413.59 = 685.62 : x
2. Step 2: Convert to fraction form
   1,610.22/2,413.59 = 685.62/x
3. Step 3: Cross multiply
   1,610.22x = 2,413.59 × 685.62
4. Step 4: Simplify right side
   1,610.22x = 1,654,805.58
5. Step 5: Solve for x
   x = 1,654,805.58/1,610.22
6. Step 6: Final answer
   x = 1,027.69