Finding the Fourth Proportional to 1,338.85, 1,846.56 and 814.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,338.85 : 1,846.56 = 814.78 : x
2. Step 2: Convert to fraction form
   1,338.85/1,846.56 = 814.78/x
3. Step 3: Cross multiply
   1,338.85x = 1,846.56 × 814.78
4. Step 4: Simplify right side
   1,338.85x = 1,504,540.16
5. Step 5: Solve for x
   x = 1,504,540.16/1,338.85
6. Step 6: Final answer
   x = 1,123.76