Finding the Fourth Proportional to 9,665.37, 14,501.30 and 4,116.33

Step by Step Solution

1. Step 1: Write the proportion equation
   9,665.37 : 14,501.30 = 4,116.33 : x
2. Step 2: Convert to fraction form
   9,665.37/14,501.30 = 4,116.33/x
3. Step 3: Cross multiply
   9,665.37x = 14,501.30 × 4,116.33
4. Step 4: Simplify right side
   9,665.37x = 59,692,115.65
5. Step 5: Solve for x
   x = 59,692,115.65/9,665.37
6. Step 6: Final answer
   x = 6,175.87