Finding the Fourth Proportional to 2,046.62, 2,824.40 and 1,162.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,046.62 : 2,824.40 = 1,162.42 : x
2. Step 2: Convert to fraction form
   2,046.62/2,824.40 = 1,162.42/x
3. Step 3: Cross multiply
   2,046.62x = 2,824.40 × 1,162.42
4. Step 4: Simplify right side
   2,046.62x = 3,283,139.05
5. Step 5: Solve for x
   x = 3,283,139.05/2,046.62
6. Step 6: Final answer
   x = 1,604.18