Finding the Fourth Proportional to 1,413.50, 1,951.04 and 853.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,413.50 : 1,951.04 = 853.88 : x
2. Step 2: Convert to fraction form
   1,413.50/1,951.04 = 853.88/x
3. Step 3: Cross multiply
   1,413.50x = 1,951.04 × 853.88
4. Step 4: Simplify right side
   1,413.50x = 1,665,941.61
5. Step 5: Solve for x
   x = 1,665,941.61/1,413.50
6. Step 6: Final answer
   x = 1,178.59