Finding the Fourth Proportional to 10,633.82, 14,650.10 and 7,644.48

Step by Step Solution

1. Step 1: Write the proportion equation
   10,633.82 : 14,650.10 = 7,644.48 : x
2. Step 2: Convert to fraction form
   10,633.82/14,650.10 = 7,644.48/x
3. Step 3: Cross multiply
   10,633.82x = 14,650.10 × 7,644.48
4. Step 4: Simplify right side
   10,633.82x = 111,992,331.95
5. Step 5: Solve for x
   x = 111,992,331.95/10,633.82
6. Step 6: Final answer
   x = 10,531.72