Finding the Fourth Proportional to 2,585.87, 3,568.50 and 1,406.98

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.87 : 3,568.50 = 1,406.98 : x
2. Step 2: Convert to fraction form
   2,585.87/3,568.50 = 1,406.98/x
3. Step 3: Cross multiply
   2,585.87x = 3,568.50 × 1,406.98
4. Step 4: Simplify right side
   2,585.87x = 5,020,799.21
5. Step 5: Solve for x
   x = 5,020,799.21/2,585.87
6. Step 6: Final answer
   x = 1,941.63