Finding the Fourth Proportional to 1,413.48, 2,116.56 and 1,256.74

Step by Step Solution

1. Step 1: Write the proportion equation
   1,413.48 : 2,116.56 = 1,256.74 : x
2. Step 2: Convert to fraction form
   1,413.48/2,116.56 = 1,256.74/x
3. Step 3: Cross multiply
   1,413.48x = 2,116.56 × 1,256.74
4. Step 4: Simplify right side
   1,413.48x = 2,659,965.61
5. Step 5: Solve for x
   x = 2,659,965.61/1,413.48
6. Step 6: Final answer
   x = 1,881.86