Finding the Fourth Proportional to 2,585.13, 3,567.50 and 1,406.21

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.13 : 3,567.50 = 1,406.21 : x
2. Step 2: Convert to fraction form
   2,585.13/3,567.50 = 1,406.21/x
3. Step 3: Cross multiply
   2,585.13x = 3,567.50 × 1,406.21
4. Step 4: Simplify right side
   2,585.13x = 5,016,629.31
5. Step 5: Solve for x
   x = 5,016,629.31/2,585.13
6. Step 6: Final answer
   x = 1,940.57