Finding the Fourth Proportional to 9,647.28, 13,307.67 and 5,667.57

Step by Step Solution

1. Step 1: Write the proportion equation
   9,647.28 : 13,307.67 = 5,667.57 : x
2. Step 2: Convert to fraction form
   9,647.28/13,307.67 = 5,667.57/x
3. Step 3: Cross multiply
   9,647.28x = 13,307.67 × 5,667.57
4. Step 4: Simplify right side
   9,647.28x = 75,422,151.26
5. Step 5: Solve for x
   x = 75,422,151.26/9,647.28
6. Step 6: Final answer
   x = 7,817.97