Finding the Fourth Proportional to 3,648.32, 5,469.20 and 3,538.16

Step by Step Solution

1. Step 1: Write the proportion equation
   3,648.32 : 5,469.20 = 3,538.16 : x
2. Step 2: Convert to fraction form
   3,648.32/5,469.20 = 3,538.16/x
3. Step 3: Cross multiply
   3,648.32x = 5,469.20 × 3,538.16
4. Step 4: Simplify right side
   3,648.32x = 19,350,904.67
5. Step 5: Solve for x
   x = 19,350,904.67/3,648.32
6. Step 6: Final answer
   x = 5,304.06