Finding the Fourth Proportional to 1,034.16, 1,550.83 and 456.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,034.16 : 1,550.83 = 456.63 : x
2. Step 2: Convert to fraction form
   1,034.16/1,550.83 = 456.63/x
3. Step 3: Cross multiply
   1,034.16x = 1,550.83 × 456.63
4. Step 4: Simplify right side
   1,034.16x = 708,155.50
5. Step 5: Solve for x
   x = 708,155.50/1,034.16
6. Step 6: Final answer
   x = 684.76