Finding the Fourth Proportional to 2,584.58, 3,566.71 and 1,405.65

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.58 : 3,566.71 = 1,405.65 : x
2. Step 2: Convert to fraction form
   2,584.58/3,566.71 = 1,405.65/x
3. Step 3: Cross multiply
   2,584.58x = 3,566.71 × 1,405.65
4. Step 4: Simplify right side
   2,584.58x = 5,013,557.09
5. Step 5: Solve for x
   x = 5,013,557.09/2,584.58
6. Step 6: Final answer
   x = 1,939.79