Finding the Fourth Proportional to 1,022.69, 1,411.29 and 597.39

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.69 : 1,411.29 = 597.39 : x
2. Step 2: Convert to fraction form
   1,022.69/1,411.29 = 597.39/x
3. Step 3: Cross multiply
   1,022.69x = 1,411.29 × 597.39
4. Step 4: Simplify right side
   1,022.69x = 843,090.53
5. Step 5: Solve for x
   x = 843,090.53/1,022.69
6. Step 6: Final answer
   x = 824.39