Finding the Fourth Proportional to 10,806.69, 14,913.23 and 5,838.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,806.69 : 14,913.23 = 5,838.69 : x
2. Step 2: Convert to fraction form
   10,806.69/14,913.23 = 5,838.69/x
3. Step 3: Cross multiply
   10,806.69x = 14,913.23 × 5,838.69
4. Step 4: Simplify right side
   10,806.69x = 87,073,726.87
5. Step 5: Solve for x
   x = 87,073,726.87/10,806.69
6. Step 6: Final answer
   x = 8,057.39