Finding the Fourth Proportional to 12,769.81, 17,627.10 and 7,466.33

Step by Step Solution

1. Step 1: Write the proportion equation
   12,769.81 : 17,627.10 = 7,466.33 : x
2. Step 2: Convert to fraction form
   12,769.81/17,627.10 = 7,466.33/x
3. Step 3: Cross multiply
   12,769.81x = 17,627.10 × 7,466.33
4. Step 4: Simplify right side
   12,769.81x = 131,609,745.54
5. Step 5: Solve for x
   x = 131,609,745.54/12,769.81
6. Step 6: Final answer
   x = 10,306.32