Finding the Fourth Proportional to 1,338.17, 1,846.37 and 1,023.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,338.17 : 1,846.37 = 1,023.78 : x
2. Step 2: Convert to fraction form
   1,338.17/1,846.37 = 1,023.78/x
3. Step 3: Cross multiply
   1,338.17x = 1,846.37 × 1,023.78
4. Step 4: Simplify right side
   1,338.17x = 1,890,286.16
5. Step 5: Solve for x
   x = 1,890,286.16/1,338.17
6. Step 6: Final answer
   x = 1,412.60