Finding the Fourth Proportional to 9,735.84, 14,596.56 and 7,067.76

Step by Step Solution

1. Step 1: Write the proportion equation
   9,735.84 : 14,596.56 = 7,067.76 : x
2. Step 2: Convert to fraction form
   9,735.84/14,596.56 = 7,067.76/x
3. Step 3: Cross multiply
   9,735.84x = 14,596.56 × 7,067.76
4. Step 4: Simplify right side
   9,735.84x = 103,164,982.91
5. Step 5: Solve for x
   x = 103,164,982.91/9,735.84
6. Step 6: Final answer
   x = 10,596.41