Finding the Fourth Proportional to 1,314.24, 1,967.16 and 923.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,314.24 : 1,967.16 = 923.76 : x
2. Step 2: Convert to fraction form
   1,314.24/1,967.16 = 923.76/x
3. Step 3: Cross multiply
   1,314.24x = 1,967.16 × 923.76
4. Step 4: Simplify right side
   1,314.24x = 1,817,183.72
5. Step 5: Solve for x
   x = 1,817,183.72/1,314.24
6. Step 6: Final answer
   x = 1,382.69