Finding the Fourth Proportional to 1,227.94, 1,841.00 and 405.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,227.94 : 1,841.00 = 405.72 : x
2. Step 2: Convert to fraction form
   1,227.94/1,841.00 = 405.72/x
3. Step 3: Cross multiply
   1,227.94x = 1,841.00 × 405.72
4. Step 4: Simplify right side
   1,227.94x = 746,928.49
5. Step 5: Solve for x
   x = 746,928.49/1,227.94
6. Step 6: Final answer
   x = 608.28