Finding the Fourth Proportional to 2,096.88, 2,893.69 and 1,165.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,096.88 : 2,893.69 = 1,165.38 : x
2. Step 2: Convert to fraction form
   2,096.88/2,893.69 = 1,165.38/x
3. Step 3: Cross multiply
   2,096.88x = 2,893.69 × 1,165.38
4. Step 4: Simplify right side
   2,096.88x = 3,372,248.45
5. Step 5: Solve for x
   x = 3,372,248.45/2,096.88
6. Step 6: Final answer
   x = 1,608.22