Finding the Fourth Proportional to 1,142.04, 1,712.72 and 411.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,142.04 : 1,712.72 = 411.42 : x
2. Step 2: Convert to fraction form
   1,142.04/1,712.72 = 411.42/x
3. Step 3: Cross multiply
   1,142.04x = 1,712.72 × 411.42
4. Step 4: Simplify right side
   1,142.04x = 704,647.26
5. Step 5: Solve for x
   x = 704,647.26/1,142.04
6. Step 6: Final answer
   x = 617.01