Finding the Fourth Proportional to 2,585.78, 3,568.40 and 1,406.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.78 : 3,568.40 = 1,406.86 : x
2. Step 2: Convert to fraction form
   2,585.78/3,568.40 = 1,406.86/x
3. Step 3: Cross multiply
   2,585.78x = 3,568.40 × 1,406.86
4. Step 4: Simplify right side
   2,585.78x = 5,020,239.22
5. Step 5: Solve for x
   x = 5,020,239.22/2,585.78
6. Step 6: Final answer
   x = 1,941.48