Finding the Fourth Proportional to 10,096.92, 13,945.46 and 6,734.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,096.92 : 13,945.46 = 6,734.25 : x
2. Step 2: Convert to fraction form
   10,096.92/13,945.46 = 6,734.25/x
3. Step 3: Cross multiply
   10,096.92x = 13,945.46 × 6,734.25
4. Step 4: Simplify right side
   10,096.92x = 93,912,180.33
5. Step 5: Solve for x
   x = 93,912,180.33/10,096.92
6. Step 6: Final answer
   x = 9,301.07