Finding the Fourth Proportional to 1,413.05, 1,949.87 and 853.74

Step by Step Solution

1. Step 1: Write the proportion equation
   1,413.05 : 1,949.87 = 853.74 : x
2. Step 2: Convert to fraction form
   1,413.05/1,949.87 = 853.74/x
3. Step 3: Cross multiply
   1,413.05x = 1,949.87 × 853.74
4. Step 4: Simplify right side
   1,413.05x = 1,664,684.15
5. Step 5: Solve for x
   x = 1,664,684.15/1,413.05
6. Step 6: Final answer
   x = 1,178.08