Finding the Fourth Proportional to 1,096.78, 1,511.94 and 834.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,096.78 : 1,511.94 = 834.34 : x
2. Step 2: Convert to fraction form
   1,096.78/1,511.94 = 834.34/x
3. Step 3: Cross multiply
   1,096.78x = 1,511.94 × 834.34
4. Step 4: Simplify right side
   1,096.78x = 1,261,472.02
5. Step 5: Solve for x
   x = 1,261,472.02/1,096.78
6. Step 6: Final answer
   x = 1,150.16