Finding the Fourth Proportional to 10,821.40, 14,933.56 and 6,105.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,821.40 : 14,933.56 = 6,105.69 : x
2. Step 2: Convert to fraction form
   10,821.40/14,933.56 = 6,105.69/x
3. Step 3: Cross multiply
   10,821.40x = 14,933.56 × 6,105.69
4. Step 4: Simplify right side
   10,821.40x = 91,179,687.96
5. Step 5: Solve for x
   x = 91,179,687.96/10,821.40
6. Step 6: Final answer
   x = 8,425.87