Finding the Fourth Proportional to 1,025.10, 1,414.82 and 605.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,025.10 : 1,414.82 = 605.42 : x
2. Step 2: Convert to fraction form
   1,025.10/1,414.82 = 605.42/x
3. Step 3: Cross multiply
   1,025.10x = 1,414.82 × 605.42
4. Step 4: Simplify right side
   1,025.10x = 856,562.35
5. Step 5: Solve for x
   x = 856,562.35/1,025.10
6. Step 6: Final answer
   x = 835.59