Finding the Fourth Proportional to 3,538.24, 4,882.56 and 2,046.05

Step by Step Solution

1. Step 1: Write the proportion equation
   3,538.24 : 4,882.56 = 2,046.05 : x
2. Step 2: Convert to fraction form
   3,538.24/4,882.56 = 2,046.05/x
3. Step 3: Cross multiply
   3,538.24x = 4,882.56 × 2,046.05
4. Step 4: Simplify right side
   3,538.24x = 9,989,961.89
5. Step 5: Solve for x
   x = 9,989,961.89/3,538.24
6. Step 6: Final answer
   x = 2,823.43