Finding the Fourth Proportional to 2,585.67, 3,568.23 and 1,406.74

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.67 : 3,568.23 = 1,406.74 : x
2. Step 2: Convert to fraction form
   2,585.67/3,568.23 = 1,406.74/x
3. Step 3: Cross multiply
   2,585.67x = 3,568.23 × 1,406.74
4. Step 4: Simplify right side
   2,585.67x = 5,019,575.72
5. Step 5: Solve for x
   x = 5,019,575.72/2,585.67
6. Step 6: Final answer
   x = 1,941.30