Finding the Fourth Proportional to 9,656.68, 13,326.96 and 5,465.56

Step by Step Solution

1. Step 1: Write the proportion equation
   9,656.68 : 13,326.96 = 5,465.56 : x
2. Step 2: Convert to fraction form
   9,656.68/13,326.96 = 5,465.56/x
3. Step 3: Cross multiply
   9,656.68x = 13,326.96 × 5,465.56
4. Step 4: Simplify right side
   9,656.68x = 72,839,299.50
5. Step 5: Solve for x
   x = 72,839,299.50/9,656.68
6. Step 6: Final answer
   x = 7,542.89