Finding the Fourth Proportional to 1,227.34, 1,840.83 and 406.18

Step by Step Solution

1. Step 1: Write the proportion equation
   1,227.34 : 1,840.83 = 406.18 : x
2. Step 2: Convert to fraction form
   1,227.34/1,840.83 = 406.18/x
3. Step 3: Cross multiply
   1,227.34x = 1,840.83 × 406.18
4. Step 4: Simplify right side
   1,227.34x = 747,708.33
5. Step 5: Solve for x
   x = 747,708.33/1,227.34
6. Step 6: Final answer
   x = 609.21