Finding the Fourth Proportional to 1,025.67, 1,415.41 and 577.54

Step by Step Solution

1. Step 1: Write the proportion equation
   1,025.67 : 1,415.41 = 577.54 : x
2. Step 2: Convert to fraction form
   1,025.67/1,415.41 = 577.54/x
3. Step 3: Cross multiply
   1,025.67x = 1,415.41 × 577.54
4. Step 4: Simplify right side
   1,025.67x = 817,456.22
5. Step 5: Solve for x
   x = 817,456.22/1,025.67
6. Step 6: Final answer
   x = 796.99