Finding the Fourth Proportional to 1,338.12, 1,846.53 and 814.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,338.12 : 1,846.53 = 814.05 : x
2. Step 2: Convert to fraction form
   1,338.12/1,846.53 = 814.05/x
3. Step 3: Cross multiply
   1,338.12x = 1,846.53 × 814.05
4. Step 4: Simplify right side
   1,338.12x = 1,503,167.75
5. Step 5: Solve for x
   x = 1,503,167.75/1,338.12
6. Step 6: Final answer
   x = 1,123.34