Finding the Fourth Proportional to 1,038.56, 1,433.25 and 596.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,038.56 : 1,433.25 = 596.52 : x
2. Step 2: Convert to fraction form
   1,038.56/1,433.25 = 596.52/x
3. Step 3: Cross multiply
   1,038.56x = 1,433.25 × 596.52
4. Step 4: Simplify right side
   1,038.56x = 854,962.29
5. Step 5: Solve for x
   x = 854,962.29/1,038.56
6. Step 6: Final answer
   x = 823.22