Finding the Fourth Proportional to 10,419.14, 14,378.81 and 5,943.62

Step by Step Solution

1. Step 1: Write the proportion equation
   10,419.14 : 14,378.81 = 5,943.62 : x
2. Step 2: Convert to fraction form
   10,419.14/14,378.81 = 5,943.62/x
3. Step 3: Cross multiply
   10,419.14x = 14,378.81 × 5,943.62
4. Step 4: Simplify right side
   10,419.14x = 85,462,182.69
5. Step 5: Solve for x
   x = 85,462,182.69/10,419.14
6. Step 6: Final answer
   x = 8,202.42