Finding the Fourth Proportional to 1,152.89, 1,729.94 and 691.60

Step by Step Solution

1. Step 1: Write the proportion equation
   1,152.89 : 1,729.94 = 691.60 : x
2. Step 2: Convert to fraction form
   1,152.89/1,729.94 = 691.60/x
3. Step 3: Cross multiply
   1,152.89x = 1,729.94 × 691.60
4. Step 4: Simplify right side
   1,152.89x = 1,196,417.85
5. Step 5: Solve for x
   x = 1,196,417.85/1,152.89
6. Step 6: Final answer
   x = 1,037.76