Finding the Fourth Proportional to 9,524.42, 14,261.78 and 7,665.38

Step by Step Solution

1. Step 1: Write the proportion equation
   9,524.42 : 14,261.78 = 7,665.38 : x
2. Step 2: Convert to fraction form
   9,524.42/14,261.78 = 7,665.38/x
3. Step 3: Cross multiply
   9,524.42x = 14,261.78 × 7,665.38
4. Step 4: Simplify right side
   9,524.42x = 109,321,963.18
5. Step 5: Solve for x
   x = 109,321,963.18/9,524.42
6. Step 6: Final answer
   x = 11,478.07