Finding the Fourth Proportional to 1,065.05, 1,469.72 and 599.33

Step by Step Solution

1. Step 1: Write the proportion equation
   1,065.05 : 1,469.72 = 599.33 : x
2. Step 2: Convert to fraction form
   1,065.05/1,469.72 = 599.33/x
3. Step 3: Cross multiply
   1,065.05x = 1,469.72 × 599.33
4. Step 4: Simplify right side
   1,065.05x = 880,844.29
5. Step 5: Solve for x
   x = 880,844.29/1,065.05
6. Step 6: Final answer
   x = 827.05