Finding the Fourth Proportional to 1,201.72, 1,658.37 and 704.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,201.72 : 1,658.37 = 704.50 : x
2. Step 2: Convert to fraction form
   1,201.72/1,658.37 = 704.50/x
3. Step 3: Cross multiply
   1,201.72x = 1,658.37 × 704.50
4. Step 4: Simplify right side
   1,201.72x = 1,168,321.67
5. Step 5: Solve for x
   x = 1,168,321.67/1,201.72
6. Step 6: Final answer
   x = 972.21