Finding the Fourth Proportional to 2,584.32, 3,566.37 and 1,405.40

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.32 : 3,566.37 = 1,405.40 : x
2. Step 2: Convert to fraction form
   2,584.32/3,566.37 = 1,405.40/x
3. Step 3: Cross multiply
   2,584.32x = 3,566.37 × 1,405.40
4. Step 4: Simplify right side
   2,584.32x = 5,012,158.57
5. Step 5: Solve for x
   x = 5,012,158.57/2,584.32
6. Step 6: Final answer
   x = 1,939.45