Finding the Fourth Proportional to 2,585.31, 3,567.63 and 1,406.35

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.31 : 3,567.63 = 1,406.35 : x
2. Step 2: Convert to fraction form
   2,585.31/3,567.63 = 1,406.35/x
3. Step 3: Cross multiply
   2,585.31x = 3,567.63 × 1,406.35
4. Step 4: Simplify right side
   2,585.31x = 5,017,336.45
5. Step 5: Solve for x
   x = 5,017,336.45/2,585.31
6. Step 6: Final answer
   x = 1,940.71