Finding the Fourth Proportional to 2,185.56, 3,013.68 and 1,978.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,185.56 : 3,013.68 = 1,978.20 : x
2. Step 2: Convert to fraction form
   2,185.56/3,013.68 = 1,978.20/x
3. Step 3: Cross multiply
   2,185.56x = 3,013.68 × 1,978.20
4. Step 4: Simplify right side
   2,185.56x = 5,961,661.78
5. Step 5: Solve for x
   x = 5,961,661.78/2,185.56
6. Step 6: Final answer
   x = 2,727.75