Finding the Fourth Proportional to 1,038.29, 1,432.83 and 596.18

Step by Step Solution

1. Step 1: Write the proportion equation
   1,038.29 : 1,432.83 = 596.18 : x
2. Step 2: Convert to fraction form
   1,038.29/1,432.83 = 596.18/x
3. Step 3: Cross multiply
   1,038.29x = 1,432.83 × 596.18
4. Step 4: Simplify right side
   1,038.29x = 854,224.59
5. Step 5: Solve for x
   x = 854,224.59/1,038.29
6. Step 6: Final answer
   x = 822.72