Finding the Fourth Proportional to 1,065.54, 1,470.42 and 599.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,065.54 : 1,470.42 = 599.88 : x
2. Step 2: Convert to fraction form
   1,065.54/1,470.42 = 599.88/x
3. Step 3: Cross multiply
   1,065.54x = 1,470.42 × 599.88
4. Step 4: Simplify right side
   1,065.54x = 882,075.55
5. Step 5: Solve for x
   x = 882,075.55/1,065.54
6. Step 6: Final answer
   x = 827.82