Finding the Fourth Proportional to 2,468.22, 3,405.82 and 1,585.22

Step by Step Solution

1. Step 1: Write the proportion equation
   2,468.22 : 3,405.82 = 1,585.22 : x
2. Step 2: Convert to fraction form
   2,468.22/3,405.82 = 1,585.22/x
3. Step 3: Cross multiply
   2,468.22x = 3,405.82 × 1,585.22
4. Step 4: Simplify right side
   2,468.22x = 5,398,966.05
5. Step 5: Solve for x
   x = 5,398,966.05/2,468.22
6. Step 6: Final answer
   x = 2,187.39