Finding the Fourth Proportional to 10,835.28, 14,945.46 and 7,686

Step by Step Solution

1. Step 1: Write the proportion equation
   10,835.28 : 14,945.46 = 7,686 : x
2. Step 2: Convert to fraction form
   10,835.28/14,945.46 = 7,686/x
3. Step 3: Cross multiply
   10,835.28x = 14,945.46 × 7,686
4. Step 4: Simplify right side
   10,835.28x = 114,870,805.56
5. Step 5: Solve for x
   x = 114,870,805.56/10,835.28
6. Step 6: Final answer
   x = 10,601.55