Finding the Fourth Proportional to 10,419.63, 14,380.25 and 5,944.49

Step by Step Solution

1. Step 1: Write the proportion equation
   10,419.63 : 14,380.25 = 5,944.49 : x
2. Step 2: Convert to fraction form
   10,419.63/14,380.25 = 5,944.49/x
3. Step 3: Cross multiply
   10,419.63x = 14,380.25 × 5,944.49
4. Step 4: Simplify right side
   10,419.63x = 85,483,150.70
5. Step 5: Solve for x
   x = 85,483,150.70/10,419.63
6. Step 6: Final answer
   x = 8,204.05