Finding the Fourth Proportional to 9,496.89, 14,242.10 and 3,655.53

Step by Step Solution

1. Step 1: Write the proportion equation
   9,496.89 : 14,242.10 = 3,655.53 : x
2. Step 2: Convert to fraction form
   9,496.89/14,242.10 = 3,655.53/x
3. Step 3: Cross multiply
   9,496.89x = 14,242.10 × 3,655.53
4. Step 4: Simplify right side
   9,496.89x = 52,062,405.54
5. Step 5: Solve for x
   x = 52,062,405.54/9,496.89
6. Step 6: Final answer
   x = 5,482.05