Finding the Fourth Proportional to 1,036.94, 1,429.57 and 704.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,036.94 : 1,429.57 = 704.78 : x
2. Step 2: Convert to fraction form
   1,036.94/1,429.57 = 704.78/x
3. Step 3: Cross multiply
   1,036.94x = 1,429.57 × 704.78
4. Step 4: Simplify right side
   1,036.94x = 1,007,531.44
5. Step 5: Solve for x
   x = 1,007,531.44/1,036.94
6. Step 6: Final answer
   x = 971.64