Finding the Fourth Proportional to 2,585.82, 3,568.33 and 1,406.90

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.82 : 3,568.33 = 1,406.90 : x
2. Step 2: Convert to fraction form
   2,585.82/3,568.33 = 1,406.90/x
3. Step 3: Cross multiply
   2,585.82x = 3,568.33 × 1,406.90
4. Step 4: Simplify right side
   2,585.82x = 5,020,258.60
5. Step 5: Solve for x
   x = 5,020,258.60/2,585.82
6. Step 6: Final answer
   x = 1,941.46