Finding the Fourth Proportional to 2,046.62, 2,824.41 and 1,162.40

Step by Step Solution

1. Step 1: Write the proportion equation
   2,046.62 : 2,824.41 = 1,162.40 : x
2. Step 2: Convert to fraction form
   2,046.62/2,824.41 = 1,162.40/x
3. Step 3: Cross multiply
   2,046.62x = 2,824.41 × 1,162.40
4. Step 4: Simplify right side
   2,046.62x = 3,283,094.18
5. Step 5: Solve for x
   x = 3,283,094.18/2,046.62
6. Step 6: Final answer
   x = 1,604.15