Finding the Fourth Proportional to 10,446.38, 15,654.84 and 5,768.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,446.38 : 15,654.84 = 5,768.50 : x
2. Step 2: Convert to fraction form
   10,446.38/15,654.84 = 5,768.50/x
3. Step 3: Cross multiply
   10,446.38x = 15,654.84 × 5,768.50
4. Step 4: Simplify right side
   10,446.38x = 90,304,930.90
5. Step 5: Solve for x
   x = 90,304,930.90/10,446.38
6. Step 6: Final answer
   x = 8,644.61