Finding the Fourth Proportional to 1,038.65, 1,433.31 and 596.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,038.65 : 1,433.31 = 596.53 : x
2. Step 2: Convert to fraction form
   1,038.65/1,433.31 = 596.53/x
3. Step 3: Cross multiply
   1,038.65x = 1,433.31 × 596.53
4. Step 4: Simplify right side
   1,038.65x = 855,005.25
5. Step 5: Solve for x
   x = 855,005.25/1,038.65
6. Step 6: Final answer
   x = 823.19