Finding the Fourth Proportional to 2,584.40, 3,566.42 and 1,405.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.40 : 3,566.42 = 1,405.50 : x
2. Step 2: Convert to fraction form
   2,584.40/3,566.42 = 1,405.50/x
3. Step 3: Cross multiply
   2,584.40x = 3,566.42 × 1,405.50
4. Step 4: Simplify right side
   2,584.40x = 5,012,603.31
5. Step 5: Solve for x
   x = 5,012,603.31/2,584.40
6. Step 6: Final answer
   x = 1,939.56