Finding the Fourth Proportional to 2,577.39, 3,866.67 and 1,116.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,577.39 : 3,866.67 = 1,116.78 : x
2. Step 2: Convert to fraction form
   2,577.39/3,866.67 = 1,116.78/x
3. Step 3: Cross multiply
   2,577.39x = 3,866.67 × 1,116.78
4. Step 4: Simplify right side
   2,577.39x = 4,318,219.72
5. Step 5: Solve for x
   x = 4,318,219.72/2,577.39
6. Step 6: Final answer
   x = 1,675.42