Finding the Fourth Proportional to 1,019.37, 1,406.64 and 599.67

Step by Step Solution

1. Step 1: Write the proportion equation
   1,019.37 : 1,406.64 = 599.67 : x
2. Step 2: Convert to fraction form
   1,019.37/1,406.64 = 599.67/x
3. Step 3: Cross multiply
   1,019.37x = 1,406.64 × 599.67
4. Step 4: Simplify right side
   1,019.37x = 843,519.81
5. Step 5: Solve for x
   x = 843,519.81/1,019.37
6. Step 6: Final answer
   x = 827.49