Finding the Fourth Proportional to 1,641.31, 2,461.89 and 408.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,641.31 : 2,461.89 = 408.69 : x
2. Step 2: Convert to fraction form
   1,641.31/2,461.89 = 408.69/x
3. Step 3: Cross multiply
   1,641.31x = 2,461.89 × 408.69
4. Step 4: Simplify right side
   1,641.31x = 1,006,149.82
5. Step 5: Solve for x
   x = 1,006,149.82/1,641.31
6. Step 6: Final answer
   x = 613.02