Finding the Fourth Proportional to 10,806, 14,912.28 and 5,838

Step by Step Solution

1. Step 1: Write the proportion equation
   10,806 : 14,912.28 = 5,838 : x
2. Step 2: Convert to fraction form
   10,806/14,912.28 = 5,838/x
3. Step 3: Cross multiply
   10,806x = 14,912.28 × 5,838
4. Step 4: Simplify right side
   10,806x = 87,057,890.64
5. Step 5: Solve for x
   x = 87,057,890.64/10,806
6. Step 6: Final answer
   x = 8,056.44