Finding the Fourth Proportional to 2,585.10, 3,567.58 and 1,406.14

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.10 : 3,567.58 = 1,406.14 : x
2. Step 2: Convert to fraction form
   2,585.10/3,567.58 = 1,406.14/x
3. Step 3: Cross multiply
   2,585.10x = 3,567.58 × 1,406.14
4. Step 4: Simplify right side
   2,585.10x = 5,016,516.94
5. Step 5: Solve for x
   x = 5,016,516.94/2,585.10
6. Step 6: Final answer
   x = 1,940.55