Finding the Fourth Proportional to 9,647.33, 13,314.85 and 5,669.42

Step by Step Solution

1. Step 1: Write the proportion equation
   9,647.33 : 13,314.85 = 5,669.42 : x
2. Step 2: Convert to fraction form
   9,647.33/13,314.85 = 5,669.42/x
3. Step 3: Cross multiply
   9,647.33x = 13,314.85 × 5,669.42
4. Step 4: Simplify right side
   9,647.33x = 75,487,396.14
5. Step 5: Solve for x
   x = 75,487,396.14/9,647.33
6. Step 6: Final answer
   x = 7,824.70