Finding the Fourth Proportional to 9,234.82, 13,830.12 and 5,327.38

Step by Step Solution

1. Step 1: Write the proportion equation
   9,234.82 : 13,830.12 = 5,327.38 : x
2. Step 2: Convert to fraction form
   9,234.82/13,830.12 = 5,327.38/x
3. Step 3: Cross multiply
   9,234.82x = 13,830.12 × 5,327.38
4. Step 4: Simplify right side
   9,234.82x = 73,678,304.69
5. Step 5: Solve for x
   x = 73,678,304.69/9,234.82
6. Step 6: Final answer
   x = 7,978.32