Finding the Fourth Proportional to 3,792, 5,229.12 and 3,419.52

Step by Step Solution

1. Step 1: Write the proportion equation
   3,792 : 5,229.12 = 3,419.52 : x
2. Step 2: Convert to fraction form
   3,792/5,229.12 = 3,419.52/x
3. Step 3: Cross multiply
   3,792x = 5,229.12 × 3,419.52
4. Step 4: Simplify right side
   3,792x = 17,881,080.42
5. Step 5: Solve for x
   x = 17,881,080.42/3,792
6. Step 6: Final answer
   x = 4,715.47