Finding the Fourth Proportional to 2,584.70, 3,566.88 and 1,405.74

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.70 : 3,566.88 = 1,405.74 : x
2. Step 2: Convert to fraction form
   2,584.70/3,566.88 = 1,405.74/x
3. Step 3: Cross multiply
   2,584.70x = 3,566.88 × 1,405.74
4. Step 4: Simplify right side
   2,584.70x = 5,014,105.89
5. Step 5: Solve for x
   x = 5,014,105.89/2,584.70
6. Step 6: Final answer
   x = 1,939.92