Finding the Fourth Proportional to 2,805.72, 3,871.84 and 1,546.89

Step by Step Solution

1. Step 1: Write the proportion equation
   2,805.72 : 3,871.84 = 1,546.89 : x
2. Step 2: Convert to fraction form
   2,805.72/3,871.84 = 1,546.89/x
3. Step 3: Cross multiply
   2,805.72x = 3,871.84 × 1,546.89
4. Step 4: Simplify right side
   2,805.72x = 5,989,304.62
5. Step 5: Solve for x
   x = 5,989,304.62/2,805.72
6. Step 6: Final answer
   x = 2,134.68