Finding the Fourth Proportional to 1,424.12, 1,964.74 and 864.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,424.12 : 1,964.74 = 864.37 : x
2. Step 2: Convert to fraction form
   1,424.12/1,964.74 = 864.37/x
3. Step 3: Cross multiply
   1,424.12x = 1,964.74 × 864.37
4. Step 4: Simplify right side
   1,424.12x = 1,698,264.23
5. Step 5: Solve for x
   x = 1,698,264.23/1,424.12
6. Step 6: Final answer
   x = 1,192.50