Finding the Fourth Proportional to 1,413.84, 1,951.18 and 854.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,413.84 : 1,951.18 = 854.30 : x
2. Step 2: Convert to fraction form
   1,413.84/1,951.18 = 854.30/x
3. Step 3: Cross multiply
   1,413.84x = 1,951.18 × 854.30
4. Step 4: Simplify right side
   1,413.84x = 1,666,895.82
5. Step 5: Solve for x
   x = 1,666,895.82/1,413.84
6. Step 6: Final answer
   x = 1,178.98