Finding the Fourth Proportional to 10,333.97, 14,260.41 and 5,857.46

Step by Step Solution

1. Step 1: Write the proportion equation
   10,333.97 : 14,260.41 = 5,857.46 : x
2. Step 2: Convert to fraction form
   10,333.97/14,260.41 = 5,857.46/x
3. Step 3: Cross multiply
   10,333.97x = 14,260.41 × 5,857.46
4. Step 4: Simplify right side
   10,333.97x = 83,529,709.86
5. Step 5: Solve for x
   x = 83,529,709.86/10,333.97
6. Step 6: Final answer
   x = 8,083.03