Finding the Fourth Proportional to 2,585.06, 3,567.45 and 1,406.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.06 : 3,567.45 = 1,406.20 : x
2. Step 2: Convert to fraction form
   2,585.06/3,567.45 = 1,406.20/x
3. Step 3: Cross multiply
   2,585.06x = 3,567.45 × 1,406.20
4. Step 4: Simplify right side
   2,585.06x = 5,016,541.16
5. Step 5: Solve for x
   x = 5,016,541.16/2,585.06
6. Step 6: Final answer
   x = 1,940.59