Finding the Fourth Proportional to 2,065.12, 3,096.30 and 677.96

Step by Step Solution

1. Step 1: Write the proportion equation
   2,065.12 : 3,096.30 = 677.96 : x
2. Step 2: Convert to fraction form
   2,065.12/3,096.30 = 677.96/x
3. Step 3: Cross multiply
   2,065.12x = 3,096.30 × 677.96
4. Step 4: Simplify right side
   2,065.12x = 2,099,167.55
5. Step 5: Solve for x
   x = 2,099,167.55/2,065.12
6. Step 6: Final answer
   x = 1,016.49