Finding the Fourth Proportional to 1,424.27, 1,965.63 and 864.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,424.27 : 1,965.63 = 864.61 : x
2. Step 2: Convert to fraction form
   1,424.27/1,965.63 = 864.61/x
3. Step 3: Cross multiply
   1,424.27x = 1,965.63 × 864.61
4. Step 4: Simplify right side
   1,424.27x = 1,699,503.35
5. Step 5: Solve for x
   x = 1,699,503.35/1,424.27
6. Step 6: Final answer
   x = 1,193.25