Finding the Fourth Proportional to 2,585.20, 3,567.47 and 1,406.27

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.20 : 3,567.47 = 1,406.27 : x
2. Step 2: Convert to fraction form
   2,585.20/3,567.47 = 1,406.27/x
3. Step 3: Cross multiply
   2,585.20x = 3,567.47 × 1,406.27
4. Step 4: Simplify right side
   2,585.20x = 5,016,808.20
5. Step 5: Solve for x
   x = 5,016,808.20/2,585.20
6. Step 6: Final answer
   x = 1,940.59