Finding the Fourth Proportional to 9,729.58, 14,596.42 and 3,155.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,729.58 : 14,596.42 = 3,155.25 : x
2. Step 2: Convert to fraction form
   9,729.58/14,596.42 = 3,155.25/x
3. Step 3: Cross multiply
   9,729.58x = 14,596.42 × 3,155.25
4. Step 4: Simplify right side
   9,729.58x = 46,055,354.21
5. Step 5: Solve for x
   x = 46,055,354.21/9,729.58
6. Step 6: Final answer
   x = 4,733.54