Finding the Fourth Proportional to 5,614.32, 7,747.82 and 3,096.53

Step by Step Solution

1. Step 1: Write the proportion equation
   5,614.32 : 7,747.82 = 3,096.53 : x
2. Step 2: Convert to fraction form
   5,614.32/7,747.82 = 3,096.53/x
3. Step 3: Cross multiply
   5,614.32x = 7,747.82 × 3,096.53
4. Step 4: Simplify right side
   5,614.32x = 23,991,318.33
5. Step 5: Solve for x
   x = 23,991,318.33/5,614.32
6. Step 6: Final answer
   x = 4,273.24