Finding the Fourth Proportional to 1,065.12, 1,469.88 and 599.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,065.12 : 1,469.88 = 599.38 : x
2. Step 2: Convert to fraction form
   1,065.12/1,469.88 = 599.38/x
3. Step 3: Cross multiply
   1,065.12x = 1,469.88 × 599.38
4. Step 4: Simplify right side
   1,065.12x = 881,016.67
5. Step 5: Solve for x
   x = 881,016.67/1,065.12
6. Step 6: Final answer
   x = 827.15