Finding the Fourth Proportional to 2,584.34, 3,566.34 and 1,405.40

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.34 : 3,566.34 = 1,405.40 : x
2. Step 2: Convert to fraction form
   2,584.34/3,566.34 = 1,405.40/x
3. Step 3: Cross multiply
   2,584.34x = 3,566.34 × 1,405.40
4. Step 4: Simplify right side
   2,584.34x = 5,012,134.24
5. Step 5: Solve for x
   x = 5,012,134.24/2,584.34
6. Step 6: Final answer
   x = 1,939.43