Finding the Fourth Proportional to 12,778.37, 19,142.51 and 8,382.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,778.37 : 19,142.51 = 8,382.50 : x
2. Step 2: Convert to fraction form
   12,778.37/19,142.51 = 8,382.50/x
3. Step 3: Cross multiply
   12,778.37x = 19,142.51 × 8,382.50
4. Step 4: Simplify right side
   12,778.37x = 160,461,952.45
5. Step 5: Solve for x
   x = 160,461,952.45/12,778.37
6. Step 6: Final answer
   x = 12,557.31