Finding the Fourth Proportional to 1,142.46, 1,713.42 and 411.84

Step by Step Solution

1. Step 1: Write the proportion equation
   1,142.46 : 1,713.42 = 411.84 : x
2. Step 2: Convert to fraction form
   1,142.46/1,713.42 = 411.84/x
3. Step 3: Cross multiply
   1,142.46x = 1,713.42 × 411.84
4. Step 4: Simplify right side
   1,142.46x = 705,654.89
5. Step 5: Solve for x
   x = 705,654.89/1,142.46
6. Step 6: Final answer
   x = 617.66