Finding the Fourth Proportional to 1,065.50, 1,470.42 and 599.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,065.50 : 1,470.42 = 599.78 : x
2. Step 2: Convert to fraction form
   1,065.50/1,470.42 = 599.78/x
3. Step 3: Cross multiply
   1,065.50x = 1,470.42 × 599.78
4. Step 4: Simplify right side
   1,065.50x = 881,928.51
5. Step 5: Solve for x
   x = 881,928.51/1,065.50
6. Step 6: Final answer
   x = 827.71