Finding the Fourth Proportional to 4,086.38, 5,638.82 and 2,384.61

Step by Step Solution

1. Step 1: Write the proportion equation
   4,086.38 : 5,638.82 = 2,384.61 : x
2. Step 2: Convert to fraction form
   4,086.38/5,638.82 = 2,384.61/x
3. Step 3: Cross multiply
   4,086.38x = 5,638.82 × 2,384.61
4. Step 4: Simplify right side
   4,086.38x = 13,446,374.64
5. Step 5: Solve for x
   x = 13,446,374.64/4,086.38
6. Step 6: Final answer
   x = 3,290.54