Finding the Fourth Proportional to 2,049.22, 2,827.89 and 1,165.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,049.22 : 2,827.89 = 1,165.06 : x
2. Step 2: Convert to fraction form
   2,049.22/2,827.89 = 1,165.06/x
3. Step 3: Cross multiply
   2,049.22x = 2,827.89 × 1,165.06
4. Step 4: Simplify right side
   2,049.22x = 3,294,661.52
5. Step 5: Solve for x
   x = 3,294,661.52/2,049.22
6. Step 6: Final answer
   x = 1,607.76