Finding the Fourth Proportional to 1,065.09, 1,469.82 and 599.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,065.09 : 1,469.82 = 599.34 : x
2. Step 2: Convert to fraction form
   1,065.09/1,469.82 = 599.34/x
3. Step 3: Cross multiply
   1,065.09x = 1,469.82 × 599.34
4. Step 4: Simplify right side
   1,065.09x = 880,921.92
5. Step 5: Solve for x
   x = 880,921.92/1,065.09
6. Step 6: Final answer
   x = 827.09