Finding the Fourth Proportional to 3,841.75, 5,730.80 and 3,728.46

Step by Step Solution

1. Step 1: Write the proportion equation
   3,841.75 : 5,730.80 = 3,728.46 : x
2. Step 2: Convert to fraction form
   3,841.75/5,730.80 = 3,728.46/x
3. Step 3: Cross multiply
   3,841.75x = 5,730.80 × 3,728.46
4. Step 4: Simplify right side
   3,841.75x = 21,367,034.04
5. Step 5: Solve for x
   x = 21,367,034.04/3,841.75
6. Step 6: Final answer
   x = 5,561.79