Finding the Fourth Proportional to 2,805.89, 3,872.10 and 1,546.91

Step by Step Solution

1. Step 1: Write the proportion equation
   2,805.89 : 3,872.10 = 1,546.91 : x
2. Step 2: Convert to fraction form
   2,805.89/3,872.10 = 1,546.91/x
3. Step 3: Cross multiply
   2,805.89x = 3,872.10 × 1,546.91
4. Step 4: Simplify right side
   2,805.89x = 5,989,792.16
5. Step 5: Solve for x
   x = 5,989,792.16/2,805.89
6. Step 6: Final answer
   x = 2,134.72