Finding the Fourth Proportional to 1,142.82, 1,713.69 and 412.29

Step by Step Solution

1. Step 1: Write the proportion equation
   1,142.82 : 1,713.69 = 412.29 : x
2. Step 2: Convert to fraction form
   1,142.82/1,713.69 = 412.29/x
3. Step 3: Cross multiply
   1,142.82x = 1,713.69 × 412.29
4. Step 4: Simplify right side
   1,142.82x = 706,537.25
5. Step 5: Solve for x
   x = 706,537.25/1,142.82
6. Step 6: Final answer
   x = 618.24