Finding the Fourth Proportional to 9,624.99, 13,284.69 and 5,647.38

Step by Step Solution

1. Step 1: Write the proportion equation
   9,624.99 : 13,284.69 = 5,647.38 : x
2. Step 2: Convert to fraction form
   9,624.99/13,284.69 = 5,647.38/x
3. Step 3: Cross multiply
   9,624.99x = 13,284.69 × 5,647.38
4. Step 4: Simplify right side
   9,624.99x = 75,023,692.61
5. Step 5: Solve for x
   x = 75,023,692.61/9,624.99
6. Step 6: Final answer
   x = 7,794.68