Finding the Fourth Proportional to 1,166.22, 1,609.59 and 700.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,166.22 : 1,609.59 = 700.50 : x
2. Step 2: Convert to fraction form
   1,166.22/1,609.59 = 700.50/x
3. Step 3: Cross multiply
   1,166.22x = 1,609.59 × 700.50
4. Step 4: Simplify right side
   1,166.22x = 1,127,517.80
5. Step 5: Solve for x
   x = 1,127,517.80/1,166.22
6. Step 6: Final answer
   x = 966.81