Finding the Fourth Proportional to 2,577.36, 3,555.60 and 2,081.60

Step by Step Solution

1. Step 1: Write the proportion equation
   2,577.36 : 3,555.60 = 2,081.60 : x
2. Step 2: Convert to fraction form
   2,577.36/3,555.60 = 2,081.60/x
3. Step 3: Cross multiply
   2,577.36x = 3,555.60 × 2,081.60
4. Step 4: Simplify right side
   2,577.36x = 7,401,336.96
5. Step 5: Solve for x
   x = 7,401,336.96/2,577.36
6. Step 6: Final answer
   x = 2,871.67