Finding the Fourth Proportional to 12,766.92, 19,138.69 and 5,371.89

Step by Step Solution

1. Step 1: Write the proportion equation
   12,766.92 : 19,138.69 = 5,371.89 : x
2. Step 2: Convert to fraction form
   12,766.92/19,138.69 = 5,371.89/x
3. Step 3: Cross multiply
   12,766.92x = 19,138.69 × 5,371.89
4. Step 4: Simplify right side
   12,766.92x = 102,810,937.42
5. Step 5: Solve for x
   x = 102,810,937.42/12,766.92
6. Step 6: Final answer
   x = 8,052.92