Finding the Fourth Proportional to 2,585.34, 3,567.92 and 1,406.39

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.34 : 3,567.92 = 1,406.39 : x
2. Step 2: Convert to fraction form
   2,585.34/3,567.92 = 1,406.39/x
3. Step 3: Cross multiply
   2,585.34x = 3,567.92 × 1,406.39
4. Step 4: Simplify right side
   2,585.34x = 5,017,862.14
5. Step 5: Solve for x
   x = 5,017,862.14/2,585.34
6. Step 6: Final answer
   x = 1,940.89