Finding the Fourth Proportional to 2,049.50, 2,828.55 and 1,165.44

Step by Step Solution

1. Step 1: Write the proportion equation
   2,049.50 : 2,828.55 = 1,165.44 : x
2. Step 2: Convert to fraction form
   2,049.50/2,828.55 = 1,165.44/x
3. Step 3: Cross multiply
   2,049.50x = 2,828.55 × 1,165.44
4. Step 4: Simplify right side
   2,049.50x = 3,296,505.31
5. Step 5: Solve for x
   x = 3,296,505.31/2,049.50
6. Step 6: Final answer
   x = 1,608.44