Finding the Fourth Proportional to 1,413.05, 1,949.27 and 853.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,413.05 : 1,949.27 = 853.20 : x
2. Step 2: Convert to fraction form
   1,413.05/1,949.27 = 853.20/x
3. Step 3: Cross multiply
   1,413.05x = 1,949.27 × 853.20
4. Step 4: Simplify right side
   1,413.05x = 1,663,112.90
5. Step 5: Solve for x
   x = 1,663,112.90/1,413.05
6. Step 6: Final answer
   x = 1,176.97