Finding the Fourth Proportional to 10,422.38, 14,384.25 and 5,945.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,422.38 : 14,384.25 = 5,945.10 : x
2. Step 2: Convert to fraction form
   10,422.38/14,384.25 = 5,945.10/x
3. Step 3: Cross multiply
   10,422.38x = 14,384.25 × 5,945.10
4. Step 4: Simplify right side
   10,422.38x = 85,515,804.68
5. Step 5: Solve for x
   x = 85,515,804.68/10,422.38
6. Step 6: Final answer
   x = 8,205.02