Finding the Fourth Proportional to 1,166.50, 1,609.78 and 700.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,166.50 : 1,609.78 = 700.76 : x
2. Step 2: Convert to fraction form
   1,166.50/1,609.78 = 700.76/x
3. Step 3: Cross multiply
   1,166.50x = 1,609.78 × 700.76
4. Step 4: Simplify right side
   1,166.50x = 1,128,069.43
5. Step 5: Solve for x
   x = 1,128,069.43/1,166.50
6. Step 6: Final answer
   x = 967.05