Finding the Fourth Proportional to 12,771.38, 17,619.09 and 7,800.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,771.38 : 17,619.09 = 7,800.50 : x
2. Step 2: Convert to fraction form
   12,771.38/17,619.09 = 7,800.50/x
3. Step 3: Cross multiply
   12,771.38x = 17,619.09 × 7,800.50
4. Step 4: Simplify right side
   12,771.38x = 137,437,711.55
5. Step 5: Solve for x
   x = 137,437,711.55/12,771.38
6. Step 6: Final answer
   x = 10,761.38