Finding the Fourth Proportional to 2,584.14, 3,566.13 and 1,405.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.14 : 3,566.13 = 1,405.25 : x
2. Step 2: Convert to fraction form
   2,584.14/3,566.13 = 1,405.25/x
3. Step 3: Cross multiply
   2,584.14x = 3,566.13 × 1,405.25
4. Step 4: Simplify right side
   2,584.14x = 5,011,294.46
5. Step 5: Solve for x
   x = 5,011,294.46/2,584.14
6. Step 6: Final answer
   x = 1,939.25