Finding the Fourth Proportional to 9,729.50, 14,596.56 and 3,155.68

Step by Step Solution

1. Step 1: Write the proportion equation
   9,729.50 : 14,596.56 = 3,155.68 : x
2. Step 2: Convert to fraction form
   9,729.50/14,596.56 = 3,155.68/x
3. Step 3: Cross multiply
   9,729.50x = 14,596.56 × 3,155.68
4. Step 4: Simplify right side
   9,729.50x = 46,062,072.46
5. Step 5: Solve for x
   x = 46,062,072.46/9,729.50
6. Step 6: Final answer
   x = 4,734.27