Finding the Fourth Proportional to 10,102, 13,942.68 and 5,686

Step by Step Solution

1. Step 1: Write the proportion equation
   10,102 : 13,942.68 = 5,686 : x
2. Step 2: Convert to fraction form
   10,102/13,942.68 = 5,686/x
3. Step 3: Cross multiply
   10,102x = 13,942.68 × 5,686
4. Step 4: Simplify right side
   10,102x = 79,278,078.48
5. Step 5: Solve for x
   x = 79,278,078.48/10,102
6. Step 6: Final answer
   x = 7,847.76