Finding the Fourth Proportional to 2,585.43, 3,567.78 and 1,406.52

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.43 : 3,567.78 = 1,406.52 : x
2. Step 2: Convert to fraction form
   2,585.43/3,567.78 = 1,406.52/x
3. Step 3: Cross multiply
   2,585.43x = 3,567.78 × 1,406.52
4. Step 4: Simplify right side
   2,585.43x = 5,018,153.93
5. Step 5: Solve for x
   x = 5,018,153.93/2,585.43
6. Step 6: Final answer
   x = 1,940.94