Finding the Fourth Proportional to 10,382.19, 14,327.82 and 5,906.34

Step by Step Solution

1. Step 1: Write the proportion equation
   10,382.19 : 14,327.82 = 5,906.34 : x
2. Step 2: Convert to fraction form
   10,382.19/14,327.82 = 5,906.34/x
3. Step 3: Cross multiply
   10,382.19x = 14,327.82 × 5,906.34
4. Step 4: Simplify right side
   10,382.19x = 84,624,976.38
5. Step 5: Solve for x
   x = 84,624,976.38/10,382.19
6. Step 6: Final answer
   x = 8,150.98