Finding the Fourth Proportional to 1,038.72, 1,433.31 and 596.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,038.72 : 1,433.31 = 596.52 : x
2. Step 2: Convert to fraction form
   1,038.72/1,433.31 = 596.52/x
3. Step 3: Cross multiply
   1,038.72x = 1,433.31 × 596.52
4. Step 4: Simplify right side
   1,038.72x = 854,998.08
5. Step 5: Solve for x
   x = 854,998.08/1,038.72
6. Step 6: Final answer
   x = 823.13