Finding the Fourth Proportional to 6,436.56, 9,656.27 and 3,664.55

Step by Step Solution

1. Step 1: Write the proportion equation
   6,436.56 : 9,656.27 = 3,664.55 : x
2. Step 2: Convert to fraction form
   6,436.56/9,656.27 = 3,664.55/x
3. Step 3: Cross multiply
   6,436.56x = 9,656.27 × 3,664.55
4. Step 4: Simplify right side
   6,436.56x = 35,385,817.62
5. Step 5: Solve for x
   x = 35,385,817.62/6,436.56
6. Step 6: Final answer
   x = 5,497.63