Finding the Fourth Proportional to 2,585.88, 3,568.52 and 1,406.95

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.88 : 3,568.52 = 1,406.95 : x
2. Step 2: Convert to fraction form
   2,585.88/3,568.52 = 1,406.95/x
3. Step 3: Cross multiply
   2,585.88x = 3,568.52 × 1,406.95
4. Step 4: Simplify right side
   2,585.88x = 5,020,713.26
5. Step 5: Solve for x
   x = 5,020,713.26/2,585.88
6. Step 6: Final answer
   x = 1,941.59