Finding the Fourth Proportional to 2,584.56, 3,566.67 and 1,405.62

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.56 : 3,566.67 = 1,405.62 : x
2. Step 2: Convert to fraction form
   2,584.56/3,566.67 = 1,405.62/x
3. Step 3: Cross multiply
   2,584.56x = 3,566.67 × 1,405.62
4. Step 4: Simplify right side
   2,584.56x = 5,013,382.69
5. Step 5: Solve for x
   x = 5,013,382.69/2,584.56
6. Step 6: Final answer
   x = 1,939.74