Finding the Fourth Proportional to 2,585.27, 3,567.71 and 1,406.36

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.27 : 3,567.71 = 1,406.36 : x
2. Step 2: Convert to fraction form
   2,585.27/3,567.71 = 1,406.36/x
3. Step 3: Cross multiply
   2,585.27x = 3,567.71 × 1,406.36
4. Step 4: Simplify right side
   2,585.27x = 5,017,484.64
5. Step 5: Solve for x
   x = 5,017,484.64/2,585.27
6. Step 6: Final answer
   x = 1,940.80