Finding the Fourth Proportional to 2,585.98, 3,568.69 and 1,407.05

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.98 : 3,568.69 = 1,407.05 : x
2. Step 2: Convert to fraction form
   2,585.98/3,568.69 = 1,407.05/x
3. Step 3: Cross multiply
   2,585.98x = 3,568.69 × 1,407.05
4. Step 4: Simplify right side
   2,585.98x = 5,021,309.31
5. Step 5: Solve for x
   x = 5,021,309.31/2,585.98
6. Step 6: Final answer
   x = 1,941.75