Finding the Fourth Proportional to 2,067.50, 2,852.06 and 1,320.14

Step by Step Solution

1. Step 1: Write the proportion equation
   2,067.50 : 2,852.06 = 1,320.14 : x
2. Step 2: Convert to fraction form
   2,067.50/2,852.06 = 1,320.14/x
3. Step 3: Cross multiply
   2,067.50x = 2,852.06 × 1,320.14
4. Step 4: Simplify right side
   2,067.50x = 3,765,118.49
5. Step 5: Solve for x
   x = 3,765,118.49/2,067.50
6. Step 6: Final answer
   x = 1,821.10