Finding the Fourth Proportional to 9,665.80, 14,488.57 and 4,046.69

Step by Step Solution

1. Step 1: Write the proportion equation
   9,665.80 : 14,488.57 = 4,046.69 : x
2. Step 2: Convert to fraction form
   9,665.80/14,488.57 = 4,046.69/x
3. Step 3: Cross multiply
   9,665.80x = 14,488.57 × 4,046.69
4. Step 4: Simplify right side
   9,665.80x = 58,630,751.33
5. Step 5: Solve for x
   x = 58,630,751.33/9,665.80
6. Step 6: Final answer
   x = 6,065.79