Finding the Fourth Proportional to 2,805.81, 3,871.77 and 1,546.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2,805.81 : 3,871.77 = 1,546.86 : x
2. Step 2: Convert to fraction form
   2,805.81/3,871.77 = 1,546.86/x
3. Step 3: Cross multiply
   2,805.81x = 3,871.77 × 1,546.86
4. Step 4: Simplify right side
   2,805.81x = 5,989,086.14
5. Step 5: Solve for x
   x = 5,989,086.14/2,805.81
6. Step 6: Final answer
   x = 2,134.53