Finding the Fourth Proportional to 681.01, 1,019.69 and 406.42

Step by Step Solution

1. Step 1: Write the proportion equation
   681.01 : 1,019.69 = 406.42 : x
2. Step 2: Convert to fraction form
   681.01/1,019.69 = 406.42/x
3. Step 3: Cross multiply
   681.01x = 1,019.69 × 406.42
4. Step 4: Simplify right side
   681.01x = 414,420.38
5. Step 5: Solve for x
   x = 414,420.38/681.01
6. Step 6: Final answer
   x = 608.54