Finding the Fourth Proportional to 9,667.62, 14,488.47 and 4,462.02

Step by Step Solution

1. Step 1: Write the proportion equation
   9,667.62 : 14,488.47 = 4,462.02 : x
2. Step 2: Convert to fraction form
   9,667.62/14,488.47 = 4,462.02/x
3. Step 3: Cross multiply
   9,667.62x = 14,488.47 × 4,462.02
4. Step 4: Simplify right side
   9,667.62x = 64,647,842.91
5. Step 5: Solve for x
   x = 64,647,842.91/9,667.62
6. Step 6: Final answer
   x = 6,687.05