Finding the Fourth Proportional to 1,164.29, 1,744.16 and 676.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,164.29 : 1,744.16 = 676.31 : x
2. Step 2: Convert to fraction form
   1,164.29/1,744.16 = 676.31/x
3. Step 3: Cross multiply
   1,164.29x = 1,744.16 × 676.31
4. Step 4: Simplify right side
   1,164.29x = 1,179,593.83
5. Step 5: Solve for x
   x = 1,179,593.83/1,164.29
6. Step 6: Final answer
   x = 1,013.14