Finding the Fourth Proportional to 2,046.61, 2,824.34 and 1,162.43

Step by Step Solution

1. Step 1: Write the proportion equation
   2,046.61 : 2,824.34 = 1,162.43 : x
2. Step 2: Convert to fraction form
   2,046.61/2,824.34 = 1,162.43/x
3. Step 3: Cross multiply
   2,046.61x = 2,824.34 × 1,162.43
4. Step 4: Simplify right side
   2,046.61x = 3,283,097.55
5. Step 5: Solve for x
   x = 3,283,097.55/2,046.61
6. Step 6: Final answer
   x = 1,604.16