Finding the Fourth Proportional to 3,782.59, 5,219.69 and 2,189.23

Step by Step Solution

1. Step 1: Write the proportion equation
   3,782.59 : 5,219.69 = 2,189.23 : x
2. Step 2: Convert to fraction form
   3,782.59/5,219.69 = 2,189.23/x
3. Step 3: Cross multiply
   3,782.59x = 5,219.69 × 2,189.23
4. Step 4: Simplify right side
   3,782.59x = 11,427,107.30
5. Step 5: Solve for x
   x = 11,427,107.30/3,782.59
6. Step 6: Final answer
   x = 3,020.98