Finding the Fourth Proportional to 1,038.41, 1,433.06 and 596.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,038.41 : 1,433.06 = 596.46 : x
2. Step 2: Convert to fraction form
   1,038.41/1,433.06 = 596.46/x
3. Step 3: Cross multiply
   1,038.41x = 1,433.06 × 596.46
4. Step 4: Simplify right side
   1,038.41x = 854,754.61
5. Step 5: Solve for x
   x = 854,754.61/1,038.41
6. Step 6: Final answer
   x = 823.14