Finding the Fourth Proportional to 1,164.72, 1,746.54 and 677.91

Step by Step Solution

1. Step 1: Write the proportion equation
   1,164.72 : 1,746.54 = 677.91 : x
2. Step 2: Convert to fraction form
   1,164.72/1,746.54 = 677.91/x
3. Step 3: Cross multiply
   1,164.72x = 1,746.54 × 677.91
4. Step 4: Simplify right side
   1,164.72x = 1,183,996.93
5. Step 5: Solve for x
   x = 1,183,996.93/1,164.72
6. Step 6: Final answer
   x = 1,016.55