Finding the Fourth Proportional to 10,096.50, 13,933.20 and 5,905.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,096.50 : 13,933.20 = 5,905.56 : x
2. Step 2: Convert to fraction form
   10,096.50/13,933.20 = 5,905.56/x
3. Step 3: Cross multiply
   10,096.50x = 13,933.20 × 5,905.56
4. Step 4: Simplify right side
   10,096.50x = 82,283,348.59
5. Step 5: Solve for x
   x = 82,283,348.59/10,096.50
6. Step 6: Final answer
   x = 8,149.69