Finding the Fourth Proportional to 6,096.58, 9,149.82 and 3,175.72

Step by Step Solution

1. Step 1: Write the proportion equation
   6,096.58 : 9,149.82 = 3,175.72 : x
2. Step 2: Convert to fraction form
   6,096.58/9,149.82 = 3,175.72/x
3. Step 3: Cross multiply
   6,096.58x = 9,149.82 × 3,175.72
4. Step 4: Simplify right side
   6,096.58x = 29,057,266.37
5. Step 5: Solve for x
   x = 29,057,266.37/6,096.58
6. Step 6: Final answer
   x = 4,766.16