Finding the Fourth Proportional to 12,772.76, 17,629.98 and 7,738.52

Step by Step Solution

1. Step 1: Write the proportion equation
   12,772.76 : 17,629.98 = 7,738.52 : x
2. Step 2: Convert to fraction form
   12,772.76/17,629.98 = 7,738.52/x
3. Step 3: Cross multiply
   12,772.76x = 17,629.98 × 7,738.52
4. Step 4: Simplify right side
   12,772.76x = 136,429,952.83
5. Step 5: Solve for x
   x = 136,429,952.83/12,772.76
6. Step 6: Final answer
   x = 10,681.32