Finding the Fourth Proportional to 10,096.83, 15,148.34 and 5,169.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,096.83 : 15,148.34 = 5,169.96 : x
2. Step 2: Convert to fraction form
   10,096.83/15,148.34 = 5,169.96/x
3. Step 3: Cross multiply
   10,096.83x = 15,148.34 × 5,169.96
4. Step 4: Simplify right side
   10,096.83x = 78,316,261.07
5. Step 5: Solve for x
   x = 78,316,261.07/10,096.83
6. Step 6: Final answer
   x = 7,756.52