Finding the Fourth Proportional to 2,024.29, 2,785.16 and 1,581.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,024.29 : 2,785.16 = 1,581.42 : x
2. Step 2: Convert to fraction form
   2,024.29/2,785.16 = 1,581.42/x
3. Step 3: Cross multiply
   2,024.29x = 2,785.16 × 1,581.42
4. Step 4: Simplify right side
   2,024.29x = 4,404,507.73
5. Step 5: Solve for x
   x = 4,404,507.73/2,024.29
6. Step 6: Final answer
   x = 2,175.83