Finding the Fourth Proportional to 1,065.07, 1,469.77 and 599.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,065.07 : 1,469.77 = 599.31 : x
2. Step 2: Convert to fraction form
   1,065.07/1,469.77 = 599.31/x
3. Step 3: Cross multiply
   1,065.07x = 1,469.77 × 599.31
4. Step 4: Simplify right side
   1,065.07x = 880,844.86
5. Step 5: Solve for x
   x = 880,844.86/1,065.07
6. Step 6: Final answer
   x = 827.03