Finding the Fourth Proportional to 1,413.45, 1,949.81 and 853.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,413.45 : 1,949.81 = 853.61 : x
2. Step 2: Convert to fraction form
   1,413.45/1,949.81 = 853.61/x
3. Step 3: Cross multiply
   1,413.45x = 1,949.81 × 853.61
4. Step 4: Simplify right side
   1,413.45x = 1,664,363.30
5. Step 5: Solve for x
   x = 1,664,363.30/1,413.45
6. Step 6: Final answer
   x = 1,177.52