Finding the Fourth Proportional to 10,596.62, 14,638.59 and 8,469.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,596.62 : 14,638.59 = 8,469.42 : x
2. Step 2: Convert to fraction form
   10,596.62/14,638.59 = 8,469.42/x
3. Step 3: Cross multiply
   10,596.62x = 14,638.59 × 8,469.42
4. Step 4: Simplify right side
   10,596.62x = 123,980,366.92
5. Step 5: Solve for x
   x = 123,980,366.92/10,596.62
6. Step 6: Final answer
   x = 11,699.99