Finding the Fourth Proportional to 1,233.32, 1,849.76 and 411.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,233.32 : 1,849.76 = 411.50 : x
2. Step 2: Convert to fraction form
   1,233.32/1,849.76 = 411.50/x
3. Step 3: Cross multiply
   1,233.32x = 1,849.76 × 411.50
4. Step 4: Simplify right side
   1,233.32x = 761,164.93
5. Step 5: Solve for x
   x = 761,164.93/1,233.32
6. Step 6: Final answer
   x = 617.17