Finding the Fourth Proportional to 1,084.82, 1,627.32 and 654.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,084.82 : 1,627.32 = 654.71 : x
2. Step 2: Convert to fraction form
   1,084.82/1,627.32 = 654.71/x
3. Step 3: Cross multiply
   1,084.82x = 1,627.32 × 654.71
4. Step 4: Simplify right side
   1,084.82x = 1,065,414.54
5. Step 5: Solve for x
   x = 1,065,414.54/1,084.82
6. Step 6: Final answer
   x = 982.12