Finding the Fourth Proportional to 1,413.78, 1,951.24 and 854.32

Step by Step Solution

1. Step 1: Write the proportion equation
   1,413.78 : 1,951.24 = 854.32 : x
2. Step 2: Convert to fraction form
   1,413.78/1,951.24 = 854.32/x
3. Step 3: Cross multiply
   1,413.78x = 1,951.24 × 854.32
4. Step 4: Simplify right side
   1,413.78x = 1,666,987.09
5. Step 5: Solve for x
   x = 1,666,987.09/1,413.78
6. Step 6: Final answer
   x = 1,179.10