Finding the Fourth Proportional to 2,096.52, 2,893.16 and 1,165

Step by Step Solution

1. Step 1: Write the proportion equation
   2,096.52 : 2,893.16 = 1,165 : x
2. Step 2: Convert to fraction form
   2,096.52/2,893.16 = 1,165/x
3. Step 3: Cross multiply
   2,096.52x = 2,893.16 × 1,165
4. Step 4: Simplify right side
   2,096.52x = 3,370,531.40
5. Step 5: Solve for x
   x = 3,370,531.40/2,096.52
6. Step 6: Final answer
   x = 1,607.68