Finding the Fourth Proportional to 2,989.90, 4,119.82 and 2,782.27

Step by Step Solution

1. Step 1: Write the proportion equation
   2,989.90 : 4,119.82 = 2,782.27 : x
2. Step 2: Convert to fraction form
   2,989.90/4,119.82 = 2,782.27/x
3. Step 3: Cross multiply
   2,989.90x = 4,119.82 × 2,782.27
4. Step 4: Simplify right side
   2,989.90x = 11,462,451.59
5. Step 5: Solve for x
   x = 11,462,451.59/2,989.90
6. Step 6: Final answer
   x = 3,833.72