Finding the Fourth Proportional to 1,271.62, 1,906.82 and 826.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,271.62 : 1,906.82 = 826.16 : x
2. Step 2: Convert to fraction form
   1,271.62/1,906.82 = 826.16/x
3. Step 3: Cross multiply
   1,271.62x = 1,906.82 × 826.16
4. Step 4: Simplify right side
   1,271.62x = 1,575,338.41
5. Step 5: Solve for x
   x = 1,575,338.41/1,271.62
6. Step 6: Final answer
   x = 1,238.84