Finding the Fourth Proportional to 3,200.30, 4,804.94 and 1,641.41

Step by Step Solution

1. Step 1: Write the proportion equation
   3,200.30 : 4,804.94 = 1,641.41 : x
2. Step 2: Convert to fraction form
   3,200.30/4,804.94 = 1,641.41/x
3. Step 3: Cross multiply
   3,200.30x = 4,804.94 × 1,641.41
4. Step 4: Simplify right side
   3,200.30x = 7,886,844.33
5. Step 5: Solve for x
   x = 7,886,844.33/3,200.30
6. Step 6: Final answer
   x = 2,464.41