Finding the Fourth Proportional to 1,413.38, 1,949.81 and 916.19

Step by Step Solution

1. Step 1: Write the proportion equation
   1,413.38 : 1,949.81 = 916.19 : x
2. Step 2: Convert to fraction form
   1,413.38/1,949.81 = 916.19/x
3. Step 3: Cross multiply
   1,413.38x = 1,949.81 × 916.19
4. Step 4: Simplify right side
   1,413.38x = 1,786,396.42
5. Step 5: Solve for x
   x = 1,786,396.42/1,413.38
6. Step 6: Final answer
   x = 1,263.92