Finding the Fourth Proportional to 2,577.47, 3,555.81 and 1,582.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,577.47 : 3,555.81 = 1,582.38 : x
2. Step 2: Convert to fraction form
   2,577.47/3,555.81 = 1,582.38/x
3. Step 3: Cross multiply
   2,577.47x = 3,555.81 × 1,582.38
4. Step 4: Simplify right side
   2,577.47x = 5,626,642.63
5. Step 5: Solve for x
   x = 5,626,642.63/2,577.47
6. Step 6: Final answer
   x = 2,183.01