Finding the Fourth Proportional to 10,096.67, 15,148.40 and 5,164.98

Step by Step Solution

1. Step 1: Write the proportion equation
   10,096.67 : 15,148.40 = 5,164.98 : x
2. Step 2: Convert to fraction form
   10,096.67/15,148.40 = 5,164.98/x
3. Step 3: Cross multiply
   10,096.67x = 15,148.40 × 5,164.98
4. Step 4: Simplify right side
   10,096.67x = 78,241,183.03
5. Step 5: Solve for x
   x = 78,241,183.03/10,096.67
6. Step 6: Final answer
   x = 7,749.21