Finding the Fourth Proportional to 1,096.29, 1,512.72 and 830.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,096.29 : 1,512.72 = 830.88 : x
2. Step 2: Convert to fraction form
   1,096.29/1,512.72 = 830.88/x
3. Step 3: Cross multiply
   1,096.29x = 1,512.72 × 830.88
4. Step 4: Simplify right side
   1,096.29x = 1,256,888.79
5. Step 5: Solve for x
   x = 1,256,888.79/1,096.29
6. Step 6: Final answer
   x = 1,146.49