Finding the Fourth Proportional to 1,609.94, 2,413.92 and 569.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,609.94 : 2,413.92 = 569.82 : x
2. Step 2: Convert to fraction form
   1,609.94/2,413.92 = 569.82/x
3. Step 3: Cross multiply
   1,609.94x = 2,413.92 × 569.82
4. Step 4: Simplify right side
   1,609.94x = 1,375,499.89
5. Step 5: Solve for x
   x = 1,375,499.89/1,609.94
6. Step 6: Final answer
   x = 854.38