Finding the Fourth Proportional to 9,769.14, 14,658.86 and 5,329.98

Step by Step Solution

1. Step 1: Write the proportion equation
   9,769.14 : 14,658.86 = 5,329.98 : x
2. Step 2: Convert to fraction form
   9,769.14/14,658.86 = 5,329.98/x
3. Step 3: Cross multiply
   9,769.14x = 14,658.86 × 5,329.98
4. Step 4: Simplify right side
   9,769.14x = 78,131,430.62
5. Step 5: Solve for x
   x = 78,131,430.62/9,769.14
6. Step 6: Final answer
   x = 7,997.78