Finding the Fourth Proportional to 1,009.34, 1,512.38 and 826.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,009.34 : 1,512.38 = 826.82 : x
2. Step 2: Convert to fraction form
   1,009.34/1,512.38 = 826.82/x
3. Step 3: Cross multiply
   1,009.34x = 1,512.38 × 826.82
4. Step 4: Simplify right side
   1,009.34x = 1,250,466.03
5. Step 5: Solve for x
   x = 1,250,466.03/1,009.34
6. Step 6: Final answer
   x = 1,238.89