Finding the Fourth Proportional to 2,468.38, 3,407.91 and 1,585.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,468.38 : 3,407.91 = 1,585.72 : x
2. Step 2: Convert to fraction form
   2,468.38/3,407.91 = 1,585.72/x
3. Step 3: Cross multiply
   2,468.38x = 3,407.91 × 1,585.72
4. Step 4: Simplify right side
   2,468.38x = 5,403,974.01
5. Step 5: Solve for x
   x = 5,403,974.01/2,468.38
6. Step 6: Final answer
   x = 2,189.28