Finding the Fourth Proportional to 1,171.86, 1,616.72 and 699.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,171.86 : 1,616.72 = 699.81 : x
2. Step 2: Convert to fraction form
   1,171.86/1,616.72 = 699.81/x
3. Step 3: Cross multiply
   1,171.86x = 1,616.72 × 699.81
4. Step 4: Simplify right side
   1,171.86x = 1,131,393.32
5. Step 5: Solve for x
   x = 1,131,393.32/1,171.86
6. Step 6: Final answer
   x = 965.47