Finding the Fourth Proportional to 1,413.92, 1,946.96 and 1,118.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,413.92 : 1,946.96 = 1,118.24 : x
2. Step 2: Convert to fraction form
   1,413.92/1,946.96 = 1,118.24/x
3. Step 3: Cross multiply
   1,413.92x = 1,946.96 × 1,118.24
4. Step 4: Simplify right side
   1,413.92x = 2,177,168.55
5. Step 5: Solve for x
   x = 2,177,168.55/1,413.92
6. Step 6: Final answer
   x = 1,539.81