Finding the Fourth Proportional to 1,038.46, 1,433.06 and 596.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,038.46 : 1,433.06 = 596.38 : x
2. Step 2: Convert to fraction form
   1,038.46/1,433.06 = 596.38/x
3. Step 3: Cross multiply
   1,038.46x = 1,433.06 × 596.38
4. Step 4: Simplify right side
   1,038.46x = 854,648.32
5. Step 5: Solve for x
   x = 854,648.32/1,038.46
6. Step 6: Final answer
   x = 823.00