Finding the Fourth Proportional to 2,025.33, 3,037.78 and 564.49

Step by Step Solution

1. Step 1: Write the proportion equation
   2,025.33 : 3,037.78 = 564.49 : x
2. Step 2: Convert to fraction form
   2,025.33/3,037.78 = 564.49/x
3. Step 3: Cross multiply
   2,025.33x = 3,037.78 × 564.49
4. Step 4: Simplify right side
   2,025.33x = 1,714,796.43
5. Step 5: Solve for x
   x = 1,714,796.43/2,025.33
6. Step 6: Final answer
   x = 846.68