Finding the Fourth Proportional to 1,009.36, 1,512.96 and 684.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,009.36 : 1,512.96 = 684.82 : x
2. Step 2: Convert to fraction form
   1,009.36/1,512.96 = 684.82/x
3. Step 3: Cross multiply
   1,009.36x = 1,512.96 × 684.82
4. Step 4: Simplify right side
   1,009.36x = 1,036,105.27
5. Step 5: Solve for x
   x = 1,036,105.27/1,009.36
6. Step 6: Final answer
   x = 1,026.50