Finding the Fourth Proportional to 1,025.24, 1,414.71 and 605.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,025.24 : 1,414.71 = 605.72 : x
2. Step 2: Convert to fraction form
   1,025.24/1,414.71 = 605.72/x
3. Step 3: Cross multiply
   1,025.24x = 1,414.71 × 605.72
4. Step 4: Simplify right side
   1,025.24x = 856,918.14
5. Step 5: Solve for x
   x = 856,918.14/1,025.24
6. Step 6: Final answer
   x = 835.82