Finding the Fourth Proportional to 2,585.74, 3,568.38 and 1,406.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.74 : 3,568.38 = 1,406.86 : x
2. Step 2: Convert to fraction form
   2,585.74/3,568.38 = 1,406.86/x
3. Step 3: Cross multiply
   2,585.74x = 3,568.38 × 1,406.86
4. Step 4: Simplify right side
   2,585.74x = 5,020,211.09
5. Step 5: Solve for x
   x = 5,020,211.09/2,585.74
6. Step 6: Final answer
   x = 1,941.50