Finding the Fourth Proportional to 1,013.38, 1,514.14 and 748.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,013.38 : 1,514.14 = 748.71 : x
2. Step 2: Convert to fraction form
   1,013.38/1,514.14 = 748.71/x
3. Step 3: Cross multiply
   1,013.38x = 1,514.14 × 748.71
4. Step 4: Simplify right side
   1,013.38x = 1,133,654.10
5. Step 5: Solve for x
   x = 1,133,654.10/1,013.38
6. Step 6: Final answer
   x = 1,118.69