Finding the Fourth Proportional to 2,585.19, 3,567.49 and 1,406.23

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.19 : 3,567.49 = 1,406.23 : x
2. Step 2: Convert to fraction form
   2,585.19/3,567.49 = 1,406.23/x
3. Step 3: Cross multiply
   2,585.19x = 3,567.49 × 1,406.23
4. Step 4: Simplify right side
   2,585.19x = 5,016,704.43
5. Step 5: Solve for x
   x = 5,016,704.43/2,585.19
6. Step 6: Final answer
   x = 1,940.56