Finding the Fourth Proportional to 10,096.18, 13,933.65 and 5,905.06

Step by Step Solution

1. Step 1: Write the proportion equation
   10,096.18 : 13,933.65 = 5,905.06 : x
2. Step 2: Convert to fraction form
   10,096.18/13,933.65 = 5,905.06/x
3. Step 3: Cross multiply
   10,096.18x = 13,933.65 × 5,905.06
4. Step 4: Simplify right side
   10,096.18x = 82,279,039.27
5. Step 5: Solve for x
   x = 82,279,039.27/10,096.18
6. Step 6: Final answer
   x = 8,149.52