Finding the Fourth Proportional to 10,096.02, 13,933.89 and 6,380.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,096.02 : 13,933.89 = 6,380.82 : x
2. Step 2: Convert to fraction form
   10,096.02/13,933.89 = 6,380.82/x
3. Step 3: Cross multiply
   10,096.02x = 13,933.89 × 6,380.82
4. Step 4: Simplify right side
   10,096.02x = 88,909,643.99
5. Step 5: Solve for x
   x = 88,909,643.99/10,096.02
6. Step 6: Final answer
   x = 8,806.41