Finding the Fourth Proportional to 2,584.45, 3,566.57 and 1,405.49

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.45 : 3,566.57 = 1,405.49 : x
2. Step 2: Convert to fraction form
   2,584.45/3,566.57 = 1,405.49/x
3. Step 3: Cross multiply
   2,584.45x = 3,566.57 × 1,405.49
4. Step 4: Simplify right side
   2,584.45x = 5,012,778.47
5. Step 5: Solve for x
   x = 5,012,778.47/2,584.45
6. Step 6: Final answer
   x = 1,939.59