Finding the Fourth Proportional to 1,065.06, 1,469.80 and 599.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,065.06 : 1,469.80 = 599.31 : x
2. Step 2: Convert to fraction form
   1,065.06/1,469.80 = 599.31/x
3. Step 3: Cross multiply
   1,065.06x = 1,469.80 × 599.31
4. Step 4: Simplify right side
   1,065.06x = 880,868.01
5. Step 5: Solve for x
   x = 880,868.01/1,065.06
6. Step 6: Final answer
   x = 827.06