Finding the Fourth Proportional to 9,682, 13,361.16 and 5,490.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,682 : 13,361.16 = 5,490.25 : x
2. Step 2: Convert to fraction form
   9,682/13,361.16 = 5,490.25/x
3. Step 3: Cross multiply
   9,682x = 13,361.16 × 5,490.25
4. Step 4: Simplify right side
   9,682x = 73,356,108.69
5. Step 5: Solve for x
   x = 73,356,108.69/9,682
6. Step 6: Final answer
   x = 7,576.55