Finding the Fourth Proportional to 1,166.76, 1,609.89 and 694.68

Step by Step Solution

1. Step 1: Write the proportion equation
   1,166.76 : 1,609.89 = 694.68 : x
2. Step 2: Convert to fraction form
   1,166.76/1,609.89 = 694.68/x
3. Step 3: Cross multiply
   1,166.76x = 1,609.89 × 694.68
4. Step 4: Simplify right side
   1,166.76x = 1,118,358.39
5. Step 5: Solve for x
   x = 1,118,358.39/1,166.76
6. Step 6: Final answer
   x = 958.52