Finding the Fourth Proportional to 1,413.56, 1,950.77 and 853.92

Step by Step Solution

1. Step 1: Write the proportion equation
   1,413.56 : 1,950.77 = 853.92 : x
2. Step 2: Convert to fraction form
   1,413.56/1,950.77 = 853.92/x
3. Step 3: Cross multiply
   1,413.56x = 1,950.77 × 853.92
4. Step 4: Simplify right side
   1,413.56x = 1,665,797.25
5. Step 5: Solve for x
   x = 1,665,797.25/1,413.56
6. Step 6: Final answer
   x = 1,178.44