Finding the Fourth Proportional to 10,421.72, 14,382.42 and 5,945.12

Step by Step Solution

1. Step 1: Write the proportion equation
   10,421.72 : 14,382.42 = 5,945.12 : x
2. Step 2: Convert to fraction form
   10,421.72/14,382.42 = 5,945.12/x
3. Step 3: Cross multiply
   10,421.72x = 14,382.42 × 5,945.12
4. Step 4: Simplify right side
   10,421.72x = 85,505,212.79
5. Step 5: Solve for x
   x = 85,505,212.79/10,421.72
6. Step 6: Final answer
   x = 8,204.52