Finding the Fourth Proportional to 9,656.96, 13,325.76 and 5,464.96

Step by Step Solution

1. Step 1: Write the proportion equation
   9,656.96 : 13,325.76 = 5,464.96 : x
2. Step 2: Convert to fraction form
   9,656.96/13,325.76 = 5,464.96/x
3. Step 3: Cross multiply
   9,656.96x = 13,325.76 × 5,464.96
4. Step 4: Simplify right side
   9,656.96x = 72,824,745.37
5. Step 5: Solve for x
   x = 72,824,745.37/9,656.96
6. Step 6: Final answer
   x = 7,541.17