Finding the Fourth Proportional to 2,006.98, 3,016.14 and 1,185.64

Step by Step Solution

1. Step 1: Write the proportion equation
   2,006.98 : 3,016.14 = 1,185.64 : x
2. Step 2: Convert to fraction form
   2,006.98/3,016.14 = 1,185.64/x
3. Step 3: Cross multiply
   2,006.98x = 3,016.14 × 1,185.64
4. Step 4: Simplify right side
   2,006.98x = 3,576,056.23
5. Step 5: Solve for x
   x = 3,576,056.23/2,006.98
6. Step 6: Final answer
   x = 1,781.81