Finding the Fourth Proportional to 3,761.82, 5,189.29 and 2,189.61

Step by Step Solution

1. Step 1: Write the proportion equation
   3,761.82 : 5,189.29 = 2,189.61 : x
2. Step 2: Convert to fraction form
   3,761.82/5,189.29 = 2,189.61/x
3. Step 3: Cross multiply
   3,761.82x = 5,189.29 × 2,189.61
4. Step 4: Simplify right side
   3,761.82x = 11,362,521.28
5. Step 5: Solve for x
   x = 11,362,521.28/3,761.82
6. Step 6: Final answer
   x = 3,020.49