Finding the Fourth Proportional to 1,022.35, 1,410.37 and 602.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.35 : 1,410.37 = 602.42 : x
2. Step 2: Convert to fraction form
   1,022.35/1,410.37 = 602.42/x
3. Step 3: Cross multiply
   1,022.35x = 1,410.37 × 602.42
4. Step 4: Simplify right side
   1,022.35x = 849,628.80
5. Step 5: Solve for x
   x = 849,628.80/1,022.35
6. Step 6: Final answer
   x = 831.05