Finding the Fourth Proportional to 2,049.84, 2,828.59 and 1,165.61

Step by Step Solution

1. Step 1: Write the proportion equation
   2,049.84 : 2,828.59 = 1,165.61 : x
2. Step 2: Convert to fraction form
   2,049.84/2,828.59 = 1,165.61/x
3. Step 3: Cross multiply
   2,049.84x = 2,828.59 × 1,165.61
4. Step 4: Simplify right side
   2,049.84x = 3,297,036.95
5. Step 5: Solve for x
   x = 3,297,036.95/2,049.84
6. Step 6: Final answer
   x = 1,608.44