Finding the Fourth Proportional to 12,856.50, 19,284.71 and 4,092.12

Step by Step Solution

1. Step 1: Write the proportion equation
   12,856.50 : 19,284.71 = 4,092.12 : x
2. Step 2: Convert to fraction form
   12,856.50/19,284.71 = 4,092.12/x
3. Step 3: Cross multiply
   12,856.50x = 19,284.71 × 4,092.12
4. Step 4: Simplify right side
   12,856.50x = 78,915,327.02
5. Step 5: Solve for x
   x = 78,915,327.02/12,856.50
6. Step 6: Final answer
   x = 6,138.17