Finding the Fourth Proportional to 2,585.89, 3,568.61 and 1,406.96

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.89 : 3,568.61 = 1,406.96 : x
2. Step 2: Convert to fraction form
   2,585.89/3,568.61 = 1,406.96/x
3. Step 3: Cross multiply
   2,585.89x = 3,568.61 × 1,406.96
4. Step 4: Simplify right side
   2,585.89x = 5,020,885.31
5. Step 5: Solve for x
   x = 5,020,885.31/2,585.89
6. Step 6: Final answer
   x = 1,941.65