Finding the Fourth Proportional to 1,413.42, 1,949.86 and 916.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,413.42 : 1,949.86 = 916.22 : x
2. Step 2: Convert to fraction form
   1,413.42/1,949.86 = 916.22/x
3. Step 3: Cross multiply
   1,413.42x = 1,949.86 × 916.22
4. Step 4: Simplify right side
   1,413.42x = 1,786,500.73
5. Step 5: Solve for x
   x = 1,786,500.73/1,413.42
6. Step 6: Final answer
   x = 1,263.96