Finding the Fourth Proportional to 1,096.75, 1,514.76 and 746.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,096.75 : 1,514.76 = 746.83 : x
2. Step 2: Convert to fraction form
   1,096.75/1,514.76 = 746.83/x
3. Step 3: Cross multiply
   1,096.75x = 1,514.76 × 746.83
4. Step 4: Simplify right side
   1,096.75x = 1,131,268.21
5. Step 5: Solve for x
   x = 1,131,268.21/1,096.75
6. Step 6: Final answer
   x = 1,031.47