Finding the Fourth Proportional to 2,585.10, 3,567.33 and 1,406.10

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.10 : 3,567.33 = 1,406.10 : x
2. Step 2: Convert to fraction form
   2,585.10/3,567.33 = 1,406.10/x
3. Step 3: Cross multiply
   2,585.10x = 3,567.33 × 1,406.10
4. Step 4: Simplify right side
   2,585.10x = 5,016,022.71
5. Step 5: Solve for x
   x = 5,016,022.71/2,585.10
6. Step 6: Final answer
   x = 1,940.36