Finding the Fourth Proportional to 9,382.81, 14,046.17 and 5,673.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,382.81 : 14,046.17 = 5,673.82 : x
2. Step 2: Convert to fraction form
   9,382.81/14,046.17 = 5,673.82/x
3. Step 3: Cross multiply
   9,382.81x = 14,046.17 × 5,673.82
4. Step 4: Simplify right side
   9,382.81x = 79,695,440.27
5. Step 5: Solve for x
   x = 79,695,440.27/9,382.81
6. Step 6: Final answer
   x = 8,493.77