Finding the Fourth Proportional to 1,142.72, 1,713.05 and 411.79

Step by Step Solution

1. Step 1: Write the proportion equation
   1,142.72 : 1,713.05 = 411.79 : x
2. Step 2: Convert to fraction form
   1,142.72/1,713.05 = 411.79/x
3. Step 3: Cross multiply
   1,142.72x = 1,713.05 × 411.79
4. Step 4: Simplify right side
   1,142.72x = 705,408.29
5. Step 5: Solve for x
   x = 705,408.29/1,142.72
6. Step 6: Final answer
   x = 617.31