Finding the Fourth Proportional to 2,585.07, 3,567.40 and 1,406.14

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.07 : 3,567.40 = 1,406.14 : x
2. Step 2: Convert to fraction form
   2,585.07/3,567.40 = 1,406.14/x
3. Step 3: Cross multiply
   2,585.07x = 3,567.40 × 1,406.14
4. Step 4: Simplify right side
   2,585.07x = 5,016,251.40
5. Step 5: Solve for x
   x = 5,016,251.40/2,585.07
6. Step 6: Final answer
   x = 1,940.47