Finding the Fourth Proportional to 6,138.48, 9,196.71 and 3,729.82

Step by Step Solution

1. Step 1: Write the proportion equation
   6,138.48 : 9,196.71 = 3,729.82 : x
2. Step 2: Convert to fraction form
   6,138.48/9,196.71 = 3,729.82/x
3. Step 3: Cross multiply
   6,138.48x = 9,196.71 × 3,729.82
4. Step 4: Simplify right side
   6,138.48x = 34,302,049.90
5. Step 5: Solve for x
   x = 34,302,049.90/6,138.48
6. Step 6: Final answer
   x = 5,588.04