Finding the Fourth Proportional to 10,137.69, 13,982.85 and 5,945.94

Step by Step Solution

1. Step 1: Write the proportion equation
   10,137.69 : 13,982.85 = 5,945.94 : x
2. Step 2: Convert to fraction form
   10,137.69/13,982.85 = 5,945.94/x
3. Step 3: Cross multiply
   10,137.69x = 13,982.85 × 5,945.94
4. Step 4: Simplify right side
   10,137.69x = 83,141,187.13
5. Step 5: Solve for x
   x = 83,141,187.13/10,137.69
6. Step 6: Final answer
   x = 8,201.20