Finding the Fourth Proportional to 2,096.12, 2,892.66 and 1,164.68

Step by Step Solution

1. Step 1: Write the proportion equation
   2,096.12 : 2,892.66 = 1,164.68 : x
2. Step 2: Convert to fraction form
   2,096.12/2,892.66 = 1,164.68/x
3. Step 3: Cross multiply
   2,096.12x = 2,892.66 × 1,164.68
4. Step 4: Simplify right side
   2,096.12x = 3,369,023.25
5. Step 5: Solve for x
   x = 3,369,023.25/2,096.12
6. Step 6: Final answer
   x = 1,607.27