Finding the Fourth Proportional to 1,413.90, 1,951.59 and 854.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,413.90 : 1,951.59 = 854.37 : x
2. Step 2: Convert to fraction form
   1,413.90/1,951.59 = 854.37/x
3. Step 3: Cross multiply
   1,413.90x = 1,951.59 × 854.37
4. Step 4: Simplify right side
   1,413.90x = 1,667,379.95
5. Step 5: Solve for x
   x = 1,667,379.95/1,413.90
6. Step 6: Final answer
   x = 1,179.28