Finding the Fourth Proportional to 1,233.47, 1,850.18 and 411.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,233.47 : 1,850.18 = 411.86 : x
2. Step 2: Convert to fraction form
   1,233.47/1,850.18 = 411.86/x
3. Step 3: Cross multiply
   1,233.47x = 1,850.18 × 411.86
4. Step 4: Simplify right side
   1,233.47x = 762,003.82
5. Step 5: Solve for x
   x = 762,003.82/1,233.47
6. Step 6: Final answer
   x = 617.77