Finding the Fourth Proportional to 10,096.68, 13,930.23 and 7,114.15

Step by Step Solution

1. Step 1: Write the proportion equation
   10,096.68 : 13,930.23 = 7,114.15 : x
2. Step 2: Convert to fraction form
   10,096.68/13,930.23 = 7,114.15/x
3. Step 3: Cross multiply
   10,096.68x = 13,930.23 × 7,114.15
4. Step 4: Simplify right side
   10,096.68x = 99,101,745.75
5. Step 5: Solve for x
   x = 99,101,745.75/10,096.68
6. Step 6: Final answer
   x = 9,815.28