Finding the Fourth Proportional to 2,277.77, 3,413.67 and 1,105.49

Step by Step Solution

1. Step 1: Write the proportion equation
   2,277.77 : 3,413.67 = 1,105.49 : x
2. Step 2: Convert to fraction form
   2,277.77/3,413.67 = 1,105.49/x
3. Step 3: Cross multiply
   2,277.77x = 3,413.67 × 1,105.49
4. Step 4: Simplify right side
   2,277.77x = 3,773,760.98
5. Step 5: Solve for x
   x = 3,773,760.98/2,277.77
6. Step 6: Final answer
   x = 1,656.78