Finding the Fourth Proportional to 4,185.42, 6,280.47 and 3,641.46

Step by Step Solution

1. Step 1: Write the proportion equation
   4,185.42 : 6,280.47 = 3,641.46 : x
2. Step 2: Convert to fraction form
   4,185.42/6,280.47 = 3,641.46/x
3. Step 3: Cross multiply
   4,185.42x = 6,280.47 × 3,641.46
4. Step 4: Simplify right side
   4,185.42x = 22,870,080.29
5. Step 5: Solve for x
   x = 22,870,080.29/4,185.42
6. Step 6: Final answer
   x = 5,464.23