Finding the Fourth Proportional to 3,200.33, 4,797.77 and 2,102.29

Step by Step Solution

1. Step 1: Write the proportion equation
   3,200.33 : 4,797.77 = 2,102.29 : x
2. Step 2: Convert to fraction form
   3,200.33/4,797.77 = 2,102.29/x
3. Step 3: Cross multiply
   3,200.33x = 4,797.77 × 2,102.29
4. Step 4: Simplify right side
   3,200.33x = 10,086,281.39
5. Step 5: Solve for x
   x = 10,086,281.39/3,200.33
6. Step 6: Final answer
   x = 3,151.64