Finding the Fourth Proportional to 1,201.69, 1,658.17 and 704.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,201.69 : 1,658.17 = 704.30 : x
2. Step 2: Convert to fraction form
   1,201.69/1,658.17 = 704.30/x
3. Step 3: Cross multiply
   1,201.69x = 1,658.17 × 704.30
4. Step 4: Simplify right side
   1,201.69x = 1,167,841.72
5. Step 5: Solve for x
   x = 1,167,841.72/1,201.69
6. Step 6: Final answer
   x = 971.84