Finding the Fourth Proportional to 2,584.50, 3,566.66 and 1,405.59

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.50 : 3,566.66 = 1,405.59 : x
2. Step 2: Convert to fraction form
   2,584.50/3,566.66 = 1,405.59/x
3. Step 3: Cross multiply
   2,584.50x = 3,566.66 × 1,405.59
4. Step 4: Simplify right side
   2,584.50x = 5,013,254.60
5. Step 5: Solve for x
   x = 5,013,254.60/2,584.50
6. Step 6: Final answer
   x = 1,939.74