Finding the Fourth Proportional to 1,338.58, 1,846.41 and 814.66

Step by Step Solution

1. Step 1: Write the proportion equation
   1,338.58 : 1,846.41 = 814.66 : x
2. Step 2: Convert to fraction form
   1,338.58/1,846.41 = 814.66/x
3. Step 3: Cross multiply
   1,338.58x = 1,846.41 × 814.66
4. Step 4: Simplify right side
   1,338.58x = 1,504,196.37
5. Step 5: Solve for x
   x = 1,504,196.37/1,338.58
6. Step 6: Final answer
   x = 1,123.73