Finding the Fourth Proportional to 1,446.88, 1,996.56 and 826

Step by Step Solution

1. Step 1: Write the proportion equation
   1,446.88 : 1,996.56 = 826 : x
2. Step 2: Convert to fraction form
   1,446.88/1,996.56 = 826/x
3. Step 3: Cross multiply
   1,446.88x = 1,996.56 × 826
4. Step 4: Simplify right side
   1,446.88x = 1,649,158.56
5. Step 5: Solve for x
   x = 1,649,158.56/1,446.88
6. Step 6: Final answer
   x = 1,139.80