Finding the Fourth Proportional to 2,086.56, 2,879.80 and 1,202.22

Step by Step Solution

1. Step 1: Write the proportion equation
   2,086.56 : 2,879.80 = 1,202.22 : x
2. Step 2: Convert to fraction form
   2,086.56/2,879.80 = 1,202.22/x
3. Step 3: Cross multiply
   2,086.56x = 2,879.80 × 1,202.22
4. Step 4: Simplify right side
   2,086.56x = 3,462,153.16
5. Step 5: Solve for x
   x = 3,462,153.16/2,086.56
6. Step 6: Final answer
   x = 1,659.26