Finding the Fourth Proportional to 9,769.56, 14,636.94 and 8,464.92

Step by Step Solution

1. Step 1: Write the proportion equation
   9,769.56 : 14,636.94 = 8,464.92 : x
2. Step 2: Convert to fraction form
   9,769.56/14,636.94 = 8,464.92/x
3. Step 3: Cross multiply
   9,769.56x = 14,636.94 × 8,464.92
4. Step 4: Simplify right side
   9,769.56x = 123,900,526.14
5. Step 5: Solve for x
   x = 123,900,526.14/9,769.56
6. Step 6: Final answer
   x = 12,682.30