Finding the Fourth Proportional to 1,338.14, 1,846.83 and 814.07

Step by Step Solution

1. Step 1: Write the proportion equation
   1,338.14 : 1,846.83 = 814.07 : x
2. Step 2: Convert to fraction form
   1,338.14/1,846.83 = 814.07/x
3. Step 3: Cross multiply
   1,338.14x = 1,846.83 × 814.07
4. Step 4: Simplify right side
   1,338.14x = 1,503,448.90
5. Step 5: Solve for x
   x = 1,503,448.90/1,338.14
6. Step 6: Final answer
   x = 1,123.54