Finding the Fourth Proportional to 1,413.30, 1,950.59 and 853.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,413.30 : 1,950.59 = 853.80 : x
2. Step 2: Convert to fraction form
   1,413.30/1,950.59 = 853.80/x
3. Step 3: Cross multiply
   1,413.30x = 1,950.59 × 853.80
4. Step 4: Simplify right side
   1,413.30x = 1,665,413.74
5. Step 5: Solve for x
   x = 1,665,413.74/1,413.30
6. Step 6: Final answer
   x = 1,178.39