Finding the Fourth Proportional to 10,609.76, 14,644.90 and 7,634.24

Step by Step Solution

1. Step 1: Write the proportion equation
   10,609.76 : 14,644.90 = 7,634.24 : x
2. Step 2: Convert to fraction form
   10,609.76/14,644.90 = 7,634.24/x
3. Step 3: Cross multiply
   10,609.76x = 14,644.90 × 7,634.24
4. Step 4: Simplify right side
   10,609.76x = 111,802,681.38
5. Step 5: Solve for x
   x = 111,802,681.38/10,609.76
6. Step 6: Final answer
   x = 10,537.72