Finding the Fourth Proportional to 2,138.67, 3,200.72 and 1,589.49

Step by Step Solution

1. Step 1: Write the proportion equation
   2,138.67 : 3,200.72 = 1,589.49 : x
2. Step 2: Convert to fraction form
   2,138.67/3,200.72 = 1,589.49/x
3. Step 3: Cross multiply
   2,138.67x = 3,200.72 × 1,589.49
4. Step 4: Simplify right side
   2,138.67x = 5,087,504.49
5. Step 5: Solve for x
   x = 5,087,504.49/2,138.67
6. Step 6: Final answer
   x = 2,378.82