Finding the Fourth Proportional to 2,584.24, 3,566.23 and 1,405.30

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.24 : 3,566.23 = 1,405.30 : x
2. Step 2: Convert to fraction form
   2,584.24/3,566.23 = 1,405.30/x
3. Step 3: Cross multiply
   2,584.24x = 3,566.23 × 1,405.30
4. Step 4: Simplify right side
   2,584.24x = 5,011,623.02
5. Step 5: Solve for x
   x = 5,011,623.02/2,584.24
6. Step 6: Final answer
   x = 1,939.30