Finding the Fourth Proportional to 2,585.37, 3,567.81 and 1,406.44

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.37 : 3,567.81 = 1,406.44 : x
2. Step 2: Convert to fraction form
   2,585.37/3,567.81 = 1,406.44/x
3. Step 3: Cross multiply
   2,585.37x = 3,567.81 × 1,406.44
4. Step 4: Simplify right side
   2,585.37x = 5,017,901.78
5. Step 5: Solve for x
   x = 5,017,901.78/2,585.37
6. Step 6: Final answer
   x = 1,940.88