Finding the Fourth Proportional to 2,577.67, 3,557.27 and 1,582.39

Step by Step Solution

1. Step 1: Write the proportion equation
   2,577.67 : 3,557.27 = 1,582.39 : x
2. Step 2: Convert to fraction form
   2,577.67/3,557.27 = 1,582.39/x
3. Step 3: Cross multiply
   2,577.67x = 3,557.27 × 1,582.39
4. Step 4: Simplify right side
   2,577.67x = 5,628,967.97
5. Step 5: Solve for x
   x = 5,628,967.97/2,577.67
6. Step 6: Final answer
   x = 2,183.74