Finding the Fourth Proportional to 5,399.40, 8,096.65 and 5,229.30

Step by Step Solution

1. Step 1: Write the proportion equation
   5,399.40 : 8,096.65 = 5,229.30 : x
2. Step 2: Convert to fraction form
   5,399.40/8,096.65 = 5,229.30/x
3. Step 3: Cross multiply
   5,399.40x = 8,096.65 × 5,229.30
4. Step 4: Simplify right side
   5,399.40x = 42,339,811.85
5. Step 5: Solve for x
   x = 42,339,811.85/5,399.40
6. Step 6: Final answer
   x = 7,841.58