Finding the Fourth Proportional to 12,778.29, 17,634.56 and 7,739.67

Step by Step Solution

1. Step 1: Write the proportion equation
   12,778.29 : 17,634.56 = 7,739.67 : x
2. Step 2: Convert to fraction form
   12,778.29/17,634.56 = 7,739.67/x
3. Step 3: Cross multiply
   12,778.29x = 17,634.56 × 7,739.67
4. Step 4: Simplify right side
   12,778.29x = 136,485,702.43
5. Step 5: Solve for x
   x = 136,485,702.43/12,778.29
6. Step 6: Final answer
   x = 10,681.06