Finding the Fourth Proportional to 10,204.38, 15,297.12 and 3,629.34

Step by Step Solution

1. Step 1: Write the proportion equation
   10,204.38 : 15,297.12 = 3,629.34 : x
2. Step 2: Convert to fraction form
   10,204.38/15,297.12 = 3,629.34/x
3. Step 3: Cross multiply
   10,204.38x = 15,297.12 × 3,629.34
4. Step 4: Simplify right side
   10,204.38x = 55,518,449.50
5. Step 5: Solve for x
   x = 55,518,449.50/10,204.38
6. Step 6: Final answer
   x = 5,440.65