Finding the Fourth Proportional to 1,288.96, 1,933.27 and 456.18

Step by Step Solution

1. Step 1: Write the proportion equation
   1,288.96 : 1,933.27 = 456.18 : x
2. Step 2: Convert to fraction form
   1,288.96/1,933.27 = 456.18/x
3. Step 3: Cross multiply
   1,288.96x = 1,933.27 × 456.18
4. Step 4: Simplify right side
   1,288.96x = 881,921.59
5. Step 5: Solve for x
   x = 881,921.59/1,288.96
6. Step 6: Final answer
   x = 684.21