Finding the Fourth Proportional to 2,049.82, 2,829.00 and 1,165.76

Step by Step Solution

1. Step 1: Write the proportion equation
   2,049.82 : 2,829.00 = 1,165.76 : x
2. Step 2: Convert to fraction form
   2,049.82/2,829.00 = 1,165.76/x
3. Step 3: Cross multiply
   2,049.82x = 2,829.00 × 1,165.76
4. Step 4: Simplify right side
   2,049.82x = 3,297,915.07
5. Step 5: Solve for x
   x = 3,297,915.07/2,049.82
6. Step 6: Final answer
   x = 1,608.88