Finding the Fourth Proportional to 1,413.68, 1,951.09 and 854.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,413.68 : 1,951.09 = 854.22 : x
2. Step 2: Convert to fraction form
   1,413.68/1,951.09 = 854.22/x
3. Step 3: Cross multiply
   1,413.68x = 1,951.09 × 854.22
4. Step 4: Simplify right side
   1,413.68x = 1,666,660.10
5. Step 5: Solve for x
   x = 1,666,660.10/1,413.68
6. Step 6: Final answer
   x = 1,178.95