Finding the Fourth Proportional to 1,227.55, 1,841.47 and 406.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,227.55 : 1,841.47 = 406.05 : x
2. Step 2: Convert to fraction form
   1,227.55/1,841.47 = 406.05/x
3. Step 3: Cross multiply
   1,227.55x = 1,841.47 × 406.05
4. Step 4: Simplify right side
   1,227.55x = 747,726.86
5. Step 5: Solve for x
   x = 747,726.86/1,227.55
6. Step 6: Final answer
   x = 609.12