Finding the Fourth Proportional to 1,338.14, 1,846.46 and 748.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,338.14 : 1,846.46 = 748.56 : x
2. Step 2: Convert to fraction form
   1,338.14/1,846.46 = 748.56/x
3. Step 3: Cross multiply
   1,338.14x = 1,846.46 × 748.56
4. Step 4: Simplify right side
   1,338.14x = 1,382,186.10
5. Step 5: Solve for x
   x = 1,382,186.10/1,338.14
6. Step 6: Final answer
   x = 1,032.92