Finding the Fourth Proportional to 1,096.52, 1,512.62 and 742.65

Step by Step Solution

1. Step 1: Write the proportion equation
   1,096.52 : 1,512.62 = 742.65 : x
2. Step 2: Convert to fraction form
   1,096.52/1,512.62 = 742.65/x
3. Step 3: Cross multiply
   1,096.52x = 1,512.62 × 742.65
4. Step 4: Simplify right side
   1,096.52x = 1,123,343.53
5. Step 5: Solve for x
   x = 1,123,343.53/1,096.52
6. Step 6: Final answer
   x = 1,024.47