Finding the Fourth Proportional to 2,584.57, 3,566.61 and 1,405.64

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.57 : 3,566.61 = 1,405.64 : x
2. Step 2: Convert to fraction form
   2,584.57/3,566.61 = 1,405.64/x
3. Step 3: Cross multiply
   2,584.57x = 3,566.61 × 1,405.64
4. Step 4: Simplify right side
   2,584.57x = 5,013,371.57
5. Step 5: Solve for x
   x = 5,013,371.57/2,584.57
6. Step 6: Final answer
   x = 1,939.73