Finding the Fourth Proportional to 10,838.28, 14,947.92 and 7,662.27

Step by Step Solution

1. Step 1: Write the proportion equation
   10,838.28 : 14,947.92 = 7,662.27 : x
2. Step 2: Convert to fraction form
   10,838.28/14,947.92 = 7,662.27/x
3. Step 3: Cross multiply
   10,838.28x = 14,947.92 × 7,662.27
4. Step 4: Simplify right side
   10,838.28x = 114,534,998.98
5. Step 5: Solve for x
   x = 114,534,998.98/10,838.28
6. Step 6: Final answer
   x = 10,567.64