Finding the Fourth Proportional to 1,065.56, 1,470.59 and 599.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,065.56 : 1,470.59 = 599.82 : x
2. Step 2: Convert to fraction form
   1,065.56/1,470.59 = 599.82/x
3. Step 3: Cross multiply
   1,065.56x = 1,470.59 × 599.82
4. Step 4: Simplify right side
   1,065.56x = 882,089.29
5. Step 5: Solve for x
   x = 882,089.29/1,065.56
6. Step 6: Final answer
   x = 827.82