Finding the Fourth Proportional to 3,821.78, 5,734.78 and 1,602.16

Step by Step Solution

1. Step 1: Write the proportion equation
   3,821.78 : 5,734.78 = 1,602.16 : x
2. Step 2: Convert to fraction form
   3,821.78/5,734.78 = 1,602.16/x
3. Step 3: Cross multiply
   3,821.78x = 5,734.78 × 1,602.16
4. Step 4: Simplify right side
   3,821.78x = 9,188,016.78
5. Step 5: Solve for x
   x = 9,188,016.78/3,821.78
6. Step 6: Final answer
   x = 2,404.12