Finding the Fourth Proportional to 9,564.27, 14,354.82 and 5,125.57

Step by Step Solution

1. Step 1: Write the proportion equation
   9,564.27 : 14,354.82 = 5,125.57 : x
2. Step 2: Convert to fraction form
   9,564.27/14,354.82 = 5,125.57/x
3. Step 3: Cross multiply
   9,564.27x = 14,354.82 × 5,125.57
4. Step 4: Simplify right side
   9,564.27x = 73,576,598.86
5. Step 5: Solve for x
   x = 73,576,598.86/9,564.27
6. Step 6: Final answer
   x = 7,692.86