Finding the Fourth Proportional to 2,805.06, 3,871.01 and 1,546.14

Step by Step Solution

1. Step 1: Write the proportion equation
   2,805.06 : 3,871.01 = 1,546.14 : x
2. Step 2: Convert to fraction form
   2,805.06/3,871.01 = 1,546.14/x
3. Step 3: Cross multiply
   2,805.06x = 3,871.01 × 1,546.14
4. Step 4: Simplify right side
   2,805.06x = 5,985,123.40
5. Step 5: Solve for x
   x = 5,985,123.40/2,805.06
6. Step 6: Final answer
   x = 2,133.69