Finding the Fourth Proportional to 2,164.56, 2,987.22 and 1,280.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,164.56 : 2,987.22 = 1,280.16 : x
2. Step 2: Convert to fraction form
   2,164.56/2,987.22 = 1,280.16/x
3. Step 3: Cross multiply
   2,164.56x = 2,987.22 × 1,280.16
4. Step 4: Simplify right side
   2,164.56x = 3,824,119.56
5. Step 5: Solve for x
   x = 3,824,119.56/2,164.56
6. Step 6: Final answer
   x = 1,766.70