Finding the Fourth Proportional to 1,610.34, 2,413.74 and 820.29

Step by Step Solution

1. Step 1: Write the proportion equation
   1,610.34 : 2,413.74 = 820.29 : x
2. Step 2: Convert to fraction form
   1,610.34/2,413.74 = 820.29/x
3. Step 3: Cross multiply
   1,610.34x = 2,413.74 × 820.29
4. Step 4: Simplify right side
   1,610.34x = 1,979,966.78
5. Step 5: Solve for x
   x = 1,979,966.78/1,610.34
6. Step 6: Final answer
   x = 1,229.53