Finding the Fourth Proportional to 1,196.65, 1,651.76 and 699.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.65 : 1,651.76 = 699.31 : x
2. Step 2: Convert to fraction form
   1,196.65/1,651.76 = 699.31/x
3. Step 3: Cross multiply
   1,196.65x = 1,651.76 × 699.31
4. Step 4: Simplify right side
   1,196.65x = 1,155,092.29
5. Step 5: Solve for x
   x = 1,155,092.29/1,196.65
6. Step 6: Final answer
   x = 965.27