Finding the Fourth Proportional to 3,642, 5,025.85 and 2,048.82

Step by Step Solution

1. Step 1: Write the proportion equation
   3,642 : 5,025.85 = 2,048.82 : x
2. Step 2: Convert to fraction form
   3,642/5,025.85 = 2,048.82/x
3. Step 3: Cross multiply
   3,642x = 5,025.85 × 2,048.82
4. Step 4: Simplify right side
   3,642x = 10,297,062.00
5. Step 5: Solve for x
   x = 10,297,062.00/3,642
6. Step 6: Final answer
   x = 2,827.31