Finding the Fourth Proportional to 2,577.38, 3,557.58 and 1,584.10

Step by Step Solution

1. Step 1: Write the proportion equation
   2,577.38 : 3,557.58 = 1,584.10 : x
2. Step 2: Convert to fraction form
   2,577.38/3,557.58 = 1,584.10/x
3. Step 3: Cross multiply
   2,577.38x = 3,557.58 × 1,584.10
4. Step 4: Simplify right side
   2,577.38x = 5,635,562.48
5. Step 5: Solve for x
   x = 5,635,562.48/2,577.38
6. Step 6: Final answer
   x = 2,186.55