Finding the Fourth Proportional to 9,546.50, 13,182.53 and 5,967.57

Step by Step Solution

1. Step 1: Write the proportion equation
   9,546.50 : 13,182.53 = 5,967.57 : x
2. Step 2: Convert to fraction form
   9,546.50/13,182.53 = 5,967.57/x
3. Step 3: Cross multiply
   9,546.50x = 13,182.53 × 5,967.57
4. Step 4: Simplify right side
   9,546.50x = 78,667,680.69
5. Step 5: Solve for x
   x = 78,667,680.69/9,546.50
6. Step 6: Final answer
   x = 8,240.48