Finding the Fourth Proportional to 2,805.78, 3,871.86 and 1,546.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,805.78 : 3,871.86 = 1,546.72 : x
2. Step 2: Convert to fraction form
   2,805.78/3,871.86 = 1,546.72/x
3. Step 3: Cross multiply
   2,805.78x = 3,871.86 × 1,546.72
4. Step 4: Simplify right side
   2,805.78x = 5,988,683.30
5. Step 5: Solve for x
   x = 5,988,683.30/2,805.78
6. Step 6: Final answer
   x = 2,134.41