Finding the Fourth Proportional to 2,582.48, 3,566.28 and 2,577.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,582.48 : 3,566.28 = 2,577.20 : x
2. Step 2: Convert to fraction form
   2,582.48/3,566.28 = 2,577.20/x
3. Step 3: Cross multiply
   2,582.48x = 3,566.28 × 2,577.20
4. Step 4: Simplify right side
   2,582.48x = 9,191,016.82
5. Step 5: Solve for x
   x = 9,191,016.82/2,582.48
6. Step 6: Final answer
   x = 3,558.99