Finding the Fourth Proportional to 1,196.83, 1,651.80 and 699.40

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.83 : 1,651.80 = 699.40 : x
2. Step 2: Convert to fraction form
   1,196.83/1,651.80 = 699.40/x
3. Step 3: Cross multiply
   1,196.83x = 1,651.80 × 699.40
4. Step 4: Simplify right side
   1,196.83x = 1,155,268.92
5. Step 5: Solve for x
   x = 1,155,268.92/1,196.83
6. Step 6: Final answer
   x = 965.27