Finding the Fourth Proportional to 10,680.27, 16,023.33 and 5,138.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,680.27 : 16,023.33 = 5,138.25 : x
2. Step 2: Convert to fraction form
   10,680.27/16,023.33 = 5,138.25/x
3. Step 3: Cross multiply
   10,680.27x = 16,023.33 × 5,138.25
4. Step 4: Simplify right side
   10,680.27x = 82,331,875.37
5. Step 5: Solve for x
   x = 82,331,875.37/10,680.27
6. Step 6: Final answer
   x = 7,708.78