Finding the Fourth Proportional to 9,729.49, 14,596.56 and 3,155.70

Step by Step Solution

1. Step 1: Write the proportion equation
   9,729.49 : 14,596.56 = 3,155.70 : x
2. Step 2: Convert to fraction form
   9,729.49/14,596.56 = 3,155.70/x
3. Step 3: Cross multiply
   9,729.49x = 14,596.56 × 3,155.70
4. Step 4: Simplify right side
   9,729.49x = 46,062,364.39
5. Step 5: Solve for x
   x = 46,062,364.39/9,729.49
6. Step 6: Final answer
   x = 4,734.30