Finding the Fourth Proportional to 1,171.82, 1,616.85 and 699.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,171.82 : 1,616.85 = 699.50 : x
2. Step 2: Convert to fraction form
   1,171.82/1,616.85 = 699.50/x
3. Step 3: Cross multiply
   1,171.82x = 1,616.85 × 699.50
4. Step 4: Simplify right side
   1,171.82x = 1,130,986.58
5. Step 5: Solve for x
   x = 1,130,986.58/1,171.82
6. Step 6: Final answer
   x = 965.15