Finding the Fourth Proportional to 9,665.73, 14,498.10 and 5,665.34

Step by Step Solution

1. Step 1: Write the proportion equation
   9,665.73 : 14,498.10 = 5,665.34 : x
2. Step 2: Convert to fraction form
   9,665.73/14,498.10 = 5,665.34/x
3. Step 3: Cross multiply
   9,665.73x = 14,498.10 × 5,665.34
4. Step 4: Simplify right side
   9,665.73x = 82,136,593.36
5. Step 5: Solve for x
   x = 82,136,593.36/9,665.73
6. Step 6: Final answer
   x = 8,497.71