Finding the Fourth Proportional to 1,038.80, 1,433.46 and 596.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,038.80 : 1,433.46 = 596.72 : x
2. Step 2: Convert to fraction form
   1,038.80/1,433.46 = 596.72/x
3. Step 3: Cross multiply
   1,038.80x = 1,433.46 × 596.72
4. Step 4: Simplify right side
   1,038.80x = 855,374.25
5. Step 5: Solve for x
   x = 855,374.25/1,038.80
6. Step 6: Final answer
   x = 823.43