Finding the Fourth Proportional to 2,096, 2,892.48 and 1,164.52

Step by Step Solution

1. Step 1: Write the proportion equation
   2,096 : 2,892.48 = 1,164.52 : x
2. Step 2: Convert to fraction form
   2,096/2,892.48 = 1,164.52/x
3. Step 3: Cross multiply
   2,096x = 2,892.48 × 1,164.52
4. Step 4: Simplify right side
   2,096x = 3,368,350.81
5. Step 5: Solve for x
   x = 3,368,350.81/2,096
6. Step 6: Final answer
   x = 1,607.04