Finding the Fourth Proportional to 10,096.17, 15,147.65 and 5,164.48

Step by Step Solution

1. Step 1: Write the proportion equation
   10,096.17 : 15,147.65 = 5,164.48 : x
2. Step 2: Convert to fraction form
   10,096.17/15,147.65 = 5,164.48/x
3. Step 3: Cross multiply
   10,096.17x = 15,147.65 × 5,164.48
4. Step 4: Simplify right side
   10,096.17x = 78,229,735.47
5. Step 5: Solve for x
   x = 78,229,735.47/10,096.17
6. Step 6: Final answer
   x = 7,748.46