Finding the Fourth Proportional to 2,584.64, 3,566.71 and 1,405.70

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.64 : 3,566.71 = 1,405.70 : x
2. Step 2: Convert to fraction form
   2,584.64/3,566.71 = 1,405.70/x
3. Step 3: Cross multiply
   2,584.64x = 3,566.71 × 1,405.70
4. Step 4: Simplify right side
   2,584.64x = 5,013,724.25
5. Step 5: Solve for x
   x = 5,013,724.25/2,584.64
6. Step 6: Final answer
   x = 1,939.82