Finding the Fourth Proportional to 2,584.10, 3,566.12 and 1,405.23

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.10 : 3,566.12 = 1,405.23 : x
2. Step 2: Convert to fraction form
   2,584.10/3,566.12 = 1,405.23/x
3. Step 3: Cross multiply
   2,584.10x = 3,566.12 × 1,405.23
4. Step 4: Simplify right side
   2,584.10x = 5,011,218.81
5. Step 5: Solve for x
   x = 5,011,218.81/2,584.10
6. Step 6: Final answer
   x = 1,939.25