Finding the Fourth Proportional to 2,096.28, 2,892.98 and 1,164.80

Step by Step Solution

1. Step 1: Write the proportion equation
   2,096.28 : 2,892.98 = 1,164.80 : x
2. Step 2: Convert to fraction form
   2,096.28/2,892.98 = 1,164.80/x
3. Step 3: Cross multiply
   2,096.28x = 2,892.98 × 1,164.80
4. Step 4: Simplify right side
   2,096.28x = 3,369,743.10
5. Step 5: Solve for x
   x = 3,369,743.10/2,096.28
6. Step 6: Final answer
   x = 1,607.49