Finding the Fourth Proportional to 9,721.80, 14,597.34 and 7,768.20

Step by Step Solution

1. Step 1: Write the proportion equation
   9,721.80 : 14,597.34 = 7,768.20 : x
2. Step 2: Convert to fraction form
   9,721.80/14,597.34 = 7,768.20/x
3. Step 3: Cross multiply
   9,721.80x = 14,597.34 × 7,768.20
4. Step 4: Simplify right side
   9,721.80x = 113,395,056.59
5. Step 5: Solve for x
   x = 113,395,056.59/9,721.80
6. Step 6: Final answer
   x = 11,664.00