Finding the Fourth Proportional to 2,049.69, 2,828.31 and 1,165.17

Step by Step Solution

1. Step 1: Write the proportion equation
   2,049.69 : 2,828.31 = 1,165.17 : x
2. Step 2: Convert to fraction form
   2,049.69/2,828.31 = 1,165.17/x
3. Step 3: Cross multiply
   2,049.69x = 2,828.31 × 1,165.17
4. Step 4: Simplify right side
   2,049.69x = 3,295,461.96
5. Step 5: Solve for x
   x = 3,295,461.96/2,049.69
6. Step 6: Final answer
   x = 1,607.79