Finding the Fourth Proportional to 2,585.42, 3,567.90 and 1,406.49

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.42 : 3,567.90 = 1,406.49 : x
2. Step 2: Convert to fraction form
   2,585.42/3,567.90 = 1,406.49/x
3. Step 3: Cross multiply
   2,585.42x = 3,567.90 × 1,406.49
4. Step 4: Simplify right side
   2,585.42x = 5,018,202.29
5. Step 5: Solve for x
   x = 5,018,202.29/2,585.42
6. Step 6: Final answer
   x = 1,940.97