Finding the Fourth Proportional to 1,142.75, 1,714.86 and 412.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,142.75 : 1,714.86 = 412.34 : x
2. Step 2: Convert to fraction form
   1,142.75/1,714.86 = 412.34/x
3. Step 3: Cross multiply
   1,142.75x = 1,714.86 × 412.34
4. Step 4: Simplify right side
   1,142.75x = 707,105.37
5. Step 5: Solve for x
   x = 707,105.37/1,142.75
6. Step 6: Final answer
   x = 618.78