Finding the Fourth Proportional to 9,601.50, 13,250.20 and 5,409.76

Step by Step Solution

1. Step 1: Write the proportion equation
   9,601.50 : 13,250.20 = 5,409.76 : x
2. Step 2: Convert to fraction form
   9,601.50/13,250.20 = 5,409.76/x
3. Step 3: Cross multiply
   9,601.50x = 13,250.20 × 5,409.76
4. Step 4: Simplify right side
   9,601.50x = 71,680,401.95
5. Step 5: Solve for x
   x = 71,680,401.95/9,601.50
6. Step 6: Final answer
   x = 7,465.54