Finding the Fourth Proportional to 1,306.57, 1,802.83 and 864.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,306.57 : 1,802.83 = 864.24 : x
2. Step 2: Convert to fraction form
   1,306.57/1,802.83 = 864.24/x
3. Step 3: Cross multiply
   1,306.57x = 1,802.83 × 864.24
4. Step 4: Simplify right side
   1,306.57x = 1,558,077.80
5. Step 5: Solve for x
   x = 1,558,077.80/1,306.57
6. Step 6: Final answer
   x = 1,192.49