Finding the Fourth Proportional to 2,086.14, 2,878.88 and 1,300.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,086.14 : 2,878.88 = 1,300.20 : x
2. Step 2: Convert to fraction form
   2,086.14/2,878.88 = 1,300.20/x
3. Step 3: Cross multiply
   2,086.14x = 2,878.88 × 1,300.20
4. Step 4: Simplify right side
   2,086.14x = 3,743,119.78
5. Step 5: Solve for x
   x = 3,743,119.78/2,086.14
6. Step 6: Final answer
   x = 1,794.28