Finding the Fourth Proportional to 2,585.16, 3,567.60 and 1,406.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.16 : 3,567.60 = 1,406.16 : x
2. Step 2: Convert to fraction form
   2,585.16/3,567.60 = 1,406.16/x
3. Step 3: Cross multiply
   2,585.16x = 3,567.60 × 1,406.16
4. Step 4: Simplify right side
   2,585.16x = 5,016,616.42
5. Step 5: Solve for x
   x = 5,016,616.42/2,585.16
6. Step 6: Final answer
   x = 1,940.54