Finding the Fourth Proportional to 1,038.66, 1,433.32 and 596.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,038.66 : 1,433.32 = 596.56 : x
2. Step 2: Convert to fraction form
   1,038.66/1,433.32 = 596.56/x
3. Step 3: Cross multiply
   1,038.66x = 1,433.32 × 596.56
4. Step 4: Simplify right side
   1,038.66x = 855,061.38
5. Step 5: Solve for x
   x = 855,061.38/1,038.66
6. Step 6: Final answer
   x = 823.24