Finding the Fourth Proportional to 2,805.76, 3,871.98 and 1,546.87

Step by Step Solution

1. Step 1: Write the proportion equation
   2,805.76 : 3,871.98 = 1,546.87 : x
2. Step 2: Convert to fraction form
   2,805.76/3,871.98 = 1,546.87/x
3. Step 3: Cross multiply
   2,805.76x = 3,871.98 × 1,546.87
4. Step 4: Simplify right side
   2,805.76x = 5,989,444.01
5. Step 5: Solve for x
   x = 5,989,444.01/2,805.76
6. Step 6: Final answer
   x = 2,134.69