Finding the Fourth Proportional to 9,446.78, 13,037.41 and 5,198.67

Step by Step Solution

1. Step 1: Write the proportion equation
   9,446.78 : 13,037.41 = 5,198.67 : x
2. Step 2: Convert to fraction form
   9,446.78/13,037.41 = 5,198.67/x
3. Step 3: Cross multiply
   9,446.78x = 13,037.41 × 5,198.67
4. Step 4: Simplify right side
   9,446.78x = 67,777,179.25
5. Step 5: Solve for x
   x = 67,777,179.25/9,446.78
6. Step 6: Final answer
   x = 7,174.63