Finding the Fourth Proportional to 1,038.52, 1,433.20 and 596.32

Step by Step Solution

1. Step 1: Write the proportion equation
   1,038.52 : 1,433.20 = 596.32 : x
2. Step 2: Convert to fraction form
   1,038.52/1,433.20 = 596.32/x
3. Step 3: Cross multiply
   1,038.52x = 1,433.20 × 596.32
4. Step 4: Simplify right side
   1,038.52x = 854,645.82
5. Step 5: Solve for x
   x = 854,645.82/1,038.52
6. Step 6: Final answer
   x = 822.95