Finding the Fourth Proportional to 2,049.68, 2,828.69 and 1,165.58

Step by Step Solution

1. Step 1: Write the proportion equation
   2,049.68 : 2,828.69 = 1,165.58 : x
2. Step 2: Convert to fraction form
   2,049.68/2,828.69 = 1,165.58/x
3. Step 3: Cross multiply
   2,049.68x = 2,828.69 × 1,165.58
4. Step 4: Simplify right side
   2,049.68x = 3,297,064.49
5. Step 5: Solve for x
   x = 3,297,064.49/2,049.68
6. Step 6: Final answer
   x = 1,608.58