Finding the Fourth Proportional to 864.32, 1,192.73 and 491.31

Step by Step Solution

1. Step 1: Write the proportion equation
   864.32 : 1,192.73 = 491.31 : x
2. Step 2: Convert to fraction form
   864.32/1,192.73 = 491.31/x
3. Step 3: Cross multiply
   864.32x = 1,192.73 × 491.31
4. Step 4: Simplify right side
   864.32x = 585,997.72
5. Step 5: Solve for x
   x = 585,997.72/864.32
6. Step 6: Final answer
   x = 677.99