Finding the Fourth Proportional to 864.69, 1,303.40 and 814.51

Step by Step Solution

1. Step 1: Write the proportion equation
   864.69 : 1,303.40 = 814.51 : x
2. Step 2: Convert to fraction form
   864.69/1,303.40 = 814.51/x
3. Step 3: Cross multiply
   864.69x = 1,303.40 × 814.51
4. Step 4: Simplify right side
   864.69x = 1,061,632.33
5. Step 5: Solve for x
   x = 1,061,632.33/864.69
6. Step 6: Final answer
   x = 1,227.76