Finding the Fourth Proportional to 10,738, 16,096.92 and 3,808.72

Step by Step Solution

1. Step 1: Write the proportion equation
   10,738 : 16,096.92 = 3,808.72 : x
2. Step 2: Convert to fraction form
   10,738/16,096.92 = 3,808.72/x
3. Step 3: Cross multiply
   10,738x = 16,096.92 × 3,808.72
4. Step 4: Simplify right side
   10,738x = 61,308,661.14
5. Step 5: Solve for x
   x = 61,308,661.14/10,738
6. Step 6: Final answer
   x = 5,709.50