Finding the Fourth Proportional to 2,096.92, 2,893.80 and 1,165.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,096.92 : 2,893.80 = 1,165.42 : x
2. Step 2: Convert to fraction form
   2,096.92/2,893.80 = 1,165.42/x
3. Step 3: Cross multiply
   2,096.92x = 2,893.80 × 1,165.42
4. Step 4: Simplify right side
   2,096.92x = 3,372,492.40
5. Step 5: Solve for x
   x = 3,372,492.40/2,096.92
6. Step 6: Final answer
   x = 1,608.31