Finding the Fourth Proportional to 2,577.65, 3,559.01 and 1,584.27

Step by Step Solution

1. Step 1: Write the proportion equation
   2,577.65 : 3,559.01 = 1,584.27 : x
2. Step 2: Convert to fraction form
   2,577.65/3,559.01 = 1,584.27/x
3. Step 3: Cross multiply
   2,577.65x = 3,559.01 × 1,584.27
4. Step 4: Simplify right side
   2,577.65x = 5,638,424.85
5. Step 5: Solve for x
   x = 5,638,424.85/2,577.65
6. Step 6: Final answer
   x = 2,187.43