Finding the Fourth Proportional to 1,096.78, 1,514.37 and 704.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,096.78 : 1,514.37 = 704.02 : x
2. Step 2: Convert to fraction form
   1,096.78/1,514.37 = 704.02/x
3. Step 3: Cross multiply
   1,096.78x = 1,514.37 × 704.02
4. Step 4: Simplify right side
   1,096.78x = 1,066,146.77
5. Step 5: Solve for x
   x = 1,066,146.77/1,096.78
6. Step 6: Final answer
   x = 972.07