Finding the Fourth Proportional to 2,767.82, 3,819.69 and 1,589.00

Step by Step Solution

1. Step 1: Write the proportion equation
   2,767.82 : 3,819.69 = 1,589.00 : x
2. Step 2: Convert to fraction form
   2,767.82/3,819.69 = 1,589.00/x
3. Step 3: Cross multiply
   2,767.82x = 3,819.69 × 1,589.00
4. Step 4: Simplify right side
   2,767.82x = 6,069,468.31
5. Step 5: Solve for x
   x = 6,069,468.31/2,767.82
6. Step 6: Final answer
   x = 2,192.87