Finding the Fourth Proportional to 1,065.38, 1,470.42 and 599.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,065.38 : 1,470.42 = 599.63 : x
2. Step 2: Convert to fraction form
   1,065.38/1,470.42 = 599.63/x
3. Step 3: Cross multiply
   1,065.38x = 1,470.42 × 599.63
4. Step 4: Simplify right side
   1,065.38x = 881,700.59
5. Step 5: Solve for x
   x = 881,700.59/1,065.38
6. Step 6: Final answer
   x = 827.60