Finding the Fourth Proportional to 2,805.80, 3,872.00 and 1,546.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,805.80 : 3,872.00 = 1,546.82 : x
2. Step 2: Convert to fraction form
   2,805.80/3,872.00 = 1,546.82/x
3. Step 3: Cross multiply
   2,805.80x = 3,872.00 × 1,546.82
4. Step 4: Simplify right side
   2,805.80x = 5,989,259.95
5. Step 5: Solve for x
   x = 5,989,259.95/2,805.80
6. Step 6: Final answer
   x = 2,134.60