Finding the Fourth Proportional to 2,584.59, 3,566.88 and 1,405.64

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.59 : 3,566.88 = 1,405.64 : x
2. Step 2: Convert to fraction form
   2,584.59/3,566.88 = 1,405.64/x
3. Step 3: Cross multiply
   2,584.59x = 3,566.88 × 1,405.64
4. Step 4: Simplify right side
   2,584.59x = 5,013,749.20
5. Step 5: Solve for x
   x = 5,013,749.20/2,584.59
6. Step 6: Final answer
   x = 1,939.86