Finding the Fourth Proportional to 3,761.82, 5,189.60 and 2,189

Step by Step Solution

1. Step 1: Write the proportion equation
   3,761.82 : 5,189.60 = 2,189 : x
2. Step 2: Convert to fraction form
   3,761.82/5,189.60 = 2,189/x
3. Step 3: Cross multiply
   3,761.82x = 5,189.60 × 2,189
4. Step 4: Simplify right side
   3,761.82x = 11,360,034.40
5. Step 5: Solve for x
   x = 11,360,034.40/3,761.82
6. Step 6: Final answer
   x = 3,019.82