Finding the Fourth Proportional to 2,152.24, 3,229.20 and 691.60

Step by Step Solution

1. Step 1: Write the proportion equation
   2,152.24 : 3,229.20 = 691.60 : x
2. Step 2: Convert to fraction form
   2,152.24/3,229.20 = 691.60/x
3. Step 3: Cross multiply
   2,152.24x = 3,229.20 × 691.60
4. Step 4: Simplify right side
   2,152.24x = 2,233,314.72
5. Step 5: Solve for x
   x = 2,233,314.72/2,152.24
6. Step 6: Final answer
   x = 1,037.67