Finding the Fourth Proportional to 2,049.72, 2,828.07 and 1,165.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,049.72 : 2,828.07 = 1,165.38 : x
2. Step 2: Convert to fraction form
   2,049.72/2,828.07 = 1,165.38/x
3. Step 3: Cross multiply
   2,049.72x = 2,828.07 × 1,165.38
4. Step 4: Simplify right side
   2,049.72x = 3,295,776.22
5. Step 5: Solve for x
   x = 3,295,776.22/2,049.72
6. Step 6: Final answer
   x = 1,607.92