Finding the Fourth Proportional to 1,413.69, 2,120.72 and 489.00

Step by Step Solution

1. Step 1: Write the proportion equation
   1,413.69 : 2,120.72 = 489.00 : x
2. Step 2: Convert to fraction form
   1,413.69/2,120.72 = 489.00/x
3. Step 3: Cross multiply
   1,413.69x = 2,120.72 × 489.00
4. Step 4: Simplify right side
   1,413.69x = 1,037,022.70
5. Step 5: Solve for x
   x = 1,037,022.70/1,413.69
6. Step 6: Final answer
   x = 733.56