Finding the Fourth Proportional to 1,092.76, 1,640.78 and 684.48

Step by Step Solution

1. Step 1: Write the proportion equation
   1,092.76 : 1,640.78 = 684.48 : x
2. Step 2: Convert to fraction form
   1,092.76/1,640.78 = 684.48/x
3. Step 3: Cross multiply
   1,092.76x = 1,640.78 × 684.48
4. Step 4: Simplify right side
   1,092.76x = 1,123,081.09
5. Step 5: Solve for x
   x = 1,123,081.09/1,092.76
6. Step 6: Final answer
   x = 1,027.75