Finding the Fourth Proportional to 9,657.28, 13,328.72 and 5,465.53

Step by Step Solution

1. Step 1: Write the proportion equation
   9,657.28 : 13,328.72 = 5,465.53 : x
2. Step 2: Convert to fraction form
   9,657.28/13,328.72 = 5,465.53/x
3. Step 3: Cross multiply
   9,657.28x = 13,328.72 × 5,465.53
4. Step 4: Simplify right side
   9,657.28x = 72,848,491.69
5. Step 5: Solve for x
   x = 72,848,491.69/9,657.28
6. Step 6: Final answer
   x = 7,543.38