Finding the Fourth Proportional to 1,413.83, 1,946.72 and 1,256.18

Step by Step Solution

1. Step 1: Write the proportion equation
   1,413.83 : 1,946.72 = 1,256.18 : x
2. Step 2: Convert to fraction form
   1,413.83/1,946.72 = 1,256.18/x
3. Step 3: Cross multiply
   1,413.83x = 1,946.72 × 1,256.18
4. Step 4: Simplify right side
   1,413.83x = 2,445,438.74
5. Step 5: Solve for x
   x = 2,445,438.74/1,413.83
6. Step 6: Final answer
   x = 1,729.66