Finding the Fourth Proportional to 1,038.30, 1,433.15 and 596.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,038.30 : 1,433.15 = 596.25 : x
2. Step 2: Convert to fraction form
   1,038.30/1,433.15 = 596.25/x
3. Step 3: Cross multiply
   1,038.30x = 1,433.15 × 596.25
4. Step 4: Simplify right side
   1,038.30x = 854,512.71
5. Step 5: Solve for x
   x = 854,512.71/1,038.30
6. Step 6: Final answer
   x = 822.99