Finding the Fourth Proportional to 1,022.79, 1,411.20 and 597.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.79 : 1,411.20 = 597.34 : x
2. Step 2: Convert to fraction form
   1,022.79/1,411.20 = 597.34/x
3. Step 3: Cross multiply
   1,022.79x = 1,411.20 × 597.34
4. Step 4: Simplify right side
   1,022.79x = 842,966.21
5. Step 5: Solve for x
   x = 842,966.21/1,022.79
6. Step 6: Final answer
   x = 824.18