Finding the Fourth Proportional to 1,413.23, 1,949.46 and 853.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,413.23 : 1,949.46 = 853.37 : x
2. Step 2: Convert to fraction form
   1,413.23/1,949.46 = 853.37/x
3. Step 3: Cross multiply
   1,413.23x = 1,949.46 × 853.37
4. Step 4: Simplify right side
   1,413.23x = 1,663,610.68
5. Step 5: Solve for x
   x = 1,663,610.68/1,413.23
6. Step 6: Final answer
   x = 1,177.17