Finding the Fourth Proportional to 1,454.25, 2,182.34 and 684.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,454.25 : 2,182.34 = 684.81 : x
2. Step 2: Convert to fraction form
   1,454.25/2,182.34 = 684.81/x
3. Step 3: Cross multiply
   1,454.25x = 2,182.34 × 684.81
4. Step 4: Simplify right side
   1,454.25x = 1,494,484.83
5. Step 5: Solve for x
   x = 1,494,484.83/1,454.25
6. Step 6: Final answer
   x = 1,027.67