Finding the Fourth Proportional to 9,656.50, 13,327.24 and 5,464.76

Step by Step Solution

1. Step 1: Write the proportion equation
   9,656.50 : 13,327.24 = 5,464.76 : x
2. Step 2: Convert to fraction form
   9,656.50/13,327.24 = 5,464.76/x
3. Step 3: Cross multiply
   9,656.50x = 13,327.24 × 5,464.76
4. Step 4: Simplify right side
   9,656.50x = 72,830,168.06
5. Step 5: Solve for x
   x = 72,830,168.06/9,656.50
6. Step 6: Final answer
   x = 7,542.09