Finding the Fourth Proportional to 9,786.08, 14,678.94 and 3,942.56

Step by Step Solution

1. Step 1: Write the proportion equation
   9,786.08 : 14,678.94 = 3,942.56 : x
2. Step 2: Convert to fraction form
   9,786.08/14,678.94 = 3,942.56/x
3. Step 3: Cross multiply
   9,786.08x = 14,678.94 × 3,942.56
4. Step 4: Simplify right side
   9,786.08x = 57,872,601.69
5. Step 5: Solve for x
   x = 57,872,601.69/9,786.08
6. Step 6: Final answer
   x = 5,913.77