Finding the Fourth Proportional to 1,038.69, 1,433.70 and 596.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,038.69 : 1,433.70 = 596.89 : x
2. Step 2: Convert to fraction form
   1,038.69/1,433.70 = 596.89/x
3. Step 3: Cross multiply
   1,038.69x = 1,433.70 × 596.89
4. Step 4: Simplify right side
   1,038.69x = 855,754.92
5. Step 5: Solve for x
   x = 855,754.92/1,038.69
6. Step 6: Final answer
   x = 823.88