Finding the Fourth Proportional to 10,419.27, 14,381.61 and 5,945.46

Step by Step Solution

1. Step 1: Write the proportion equation
   10,419.27 : 14,381.61 = 5,945.46 : x
2. Step 2: Convert to fraction form
   10,419.27/14,381.61 = 5,945.46/x
3. Step 3: Cross multiply
   10,419.27x = 14,381.61 × 5,945.46
4. Step 4: Simplify right side
   10,419.27x = 85,505,286.99
5. Step 5: Solve for x
   x = 85,505,286.99/10,419.27
6. Step 6: Final answer
   x = 8,206.46