Finding the Fourth Proportional to 2,585.40, 3,567.84 and 1,406.46

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.40 : 3,567.84 = 1,406.46 : x
2. Step 2: Convert to fraction form
   2,585.40/3,567.84 = 1,406.46/x
3. Step 3: Cross multiply
   2,585.40x = 3,567.84 × 1,406.46
4. Step 4: Simplify right side
   2,585.40x = 5,018,024.25
5. Step 5: Solve for x
   x = 5,018,024.25/2,585.40
6. Step 6: Final answer
   x = 1,940.91