Finding the Fourth Proportional to 2,585.25, 3,567.61 and 1,406.30

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.25 : 3,567.61 = 1,406.30 : x
2. Step 2: Convert to fraction form
   2,585.25/3,567.61 = 1,406.30/x
3. Step 3: Cross multiply
   2,585.25x = 3,567.61 × 1,406.30
4. Step 4: Simplify right side
   2,585.25x = 5,017,129.94
5. Step 5: Solve for x
   x = 5,017,129.94/2,585.25
6. Step 6: Final answer
   x = 1,940.67