Finding the Fourth Proportional to 2,585.84, 3,568.41 and 1,406.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.84 : 3,568.41 = 1,406.88 : x
2. Step 2: Convert to fraction form
   2,585.84/3,568.41 = 1,406.88/x
3. Step 3: Cross multiply
   2,585.84x = 3,568.41 × 1,406.88
4. Step 4: Simplify right side
   2,585.84x = 5,020,324.66
5. Step 5: Solve for x
   x = 5,020,324.66/2,585.84
6. Step 6: Final answer
   x = 1,941.47