Finding the Fourth Proportional to 10,806.47, 14,912.94 and 5,838.47

Step by Step Solution

1. Step 1: Write the proportion equation
   10,806.47 : 14,912.94 = 5,838.47 : x
2. Step 2: Convert to fraction form
   10,806.47/14,912.94 = 5,838.47/x
3. Step 3: Cross multiply
   10,806.47x = 14,912.94 × 5,838.47
4. Step 4: Simplify right side
   10,806.47x = 87,068,752.80
5. Step 5: Solve for x
   x = 87,068,752.80/10,806.47
6. Step 6: Final answer
   x = 8,057.09