Finding the Fourth Proportional to 2,546.31, 3,820.25 and 2,105.55

Step by Step Solution

1. Step 1: Write the proportion equation
   2,546.31 : 3,820.25 = 2,105.55 : x
2. Step 2: Convert to fraction form
   2,546.31/3,820.25 = 2,105.55/x
3. Step 3: Cross multiply
   2,546.31x = 3,820.25 × 2,105.55
4. Step 4: Simplify right side
   2,546.31x = 8,043,727.39
5. Step 5: Solve for x
   x = 8,043,727.39/2,546.31
6. Step 6: Final answer
   x = 3,158.97