Finding the Fourth Proportional to 1,038.72, 1,433.52 and 596.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,038.72 : 1,433.52 = 596.77 : x
2. Step 2: Convert to fraction form
   1,038.72/1,433.52 = 596.77/x
3. Step 3: Cross multiply
   1,038.72x = 1,433.52 × 596.77
4. Step 4: Simplify right side
   1,038.72x = 855,481.73
5. Step 5: Solve for x
   x = 855,481.73/1,038.72
6. Step 6: Final answer
   x = 823.59