Finding the Fourth Proportional to 10,658.88, 14,710.64 and 7,684.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,658.88 : 14,710.64 = 7,684.56 : x
2. Step 2: Convert to fraction form
   10,658.88/14,710.64 = 7,684.56/x
3. Step 3: Cross multiply
   10,658.88x = 14,710.64 × 7,684.56
4. Step 4: Simplify right side
   10,658.88x = 113,044,795.72
5. Step 5: Solve for x
   x = 113,044,795.72/10,658.88
6. Step 6: Final answer
   x = 10,605.69