Finding the Fourth Proportional to 9,688.46, 13,377.49 and 7,446.78

Step by Step Solution

1. Step 1: Write the proportion equation
   9,688.46 : 13,377.49 = 7,446.78 : x
2. Step 2: Convert to fraction form
   9,688.46/13,377.49 = 7,446.78/x
3. Step 3: Cross multiply
   9,688.46x = 13,377.49 × 7,446.78
4. Step 4: Simplify right side
   9,688.46x = 99,619,206.37
5. Step 5: Solve for x
   x = 99,619,206.37/9,688.46
6. Step 6: Final answer
   x = 10,282.26