Finding the Fourth Proportional to 1,413.60, 1,949.53 and 853.93

Step by Step Solution

1. Step 1: Write the proportion equation
   1,413.60 : 1,949.53 = 853.93 : x
2. Step 2: Convert to fraction form
   1,413.60/1,949.53 = 853.93/x
3. Step 3: Cross multiply
   1,413.60x = 1,949.53 × 853.93
4. Step 4: Simplify right side
   1,413.60x = 1,664,762.15
5. Step 5: Solve for x
   x = 1,664,762.15/1,413.60
6. Step 6: Final answer
   x = 1,177.68