Finding the Fourth Proportional to 1,233.93, 1,849.98 and 411.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,233.93 : 1,849.98 = 411.72 : x
2. Step 2: Convert to fraction form
   1,233.93/1,849.98 = 411.72/x
3. Step 3: Cross multiply
   1,233.93x = 1,849.98 × 411.72
4. Step 4: Simplify right side
   1,233.93x = 761,673.77
5. Step 5: Solve for x
   x = 761,673.77/1,233.93
6. Step 6: Final answer
   x = 617.27