Finding the Fourth Proportional to 1,338.16, 1,846.56 and 814.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,338.16 : 1,846.56 = 814.12 : x
2. Step 2: Convert to fraction form
   1,338.16/1,846.56 = 814.12/x
3. Step 3: Cross multiply
   1,338.16x = 1,846.56 × 814.12
4. Step 4: Simplify right side
   1,338.16x = 1,503,321.43
5. Step 5: Solve for x
   x = 1,503,321.43/1,338.16
6. Step 6: Final answer
   x = 1,123.42