Finding the Fourth Proportional to 1,338.12, 1,846.82 and 814.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,338.12 : 1,846.82 = 814.06 : x
2. Step 2: Convert to fraction form
   1,338.12/1,846.82 = 814.06/x
3. Step 3: Cross multiply
   1,338.12x = 1,846.82 × 814.06
4. Step 4: Simplify right side
   1,338.12x = 1,503,422.29
5. Step 5: Solve for x
   x = 1,503,422.29/1,338.12
6. Step 6: Final answer
   x = 1,123.53