Finding the Fourth Proportional to 1,019.63, 1,407.01 and 599.92

Step by Step Solution

1. Step 1: Write the proportion equation
   1,019.63 : 1,407.01 = 599.92 : x
2. Step 2: Convert to fraction form
   1,019.63/1,407.01 = 599.92/x
3. Step 3: Cross multiply
   1,019.63x = 1,407.01 × 599.92
4. Step 4: Simplify right side
   1,019.63x = 844,086.23
5. Step 5: Solve for x
   x = 844,086.23/1,019.63
6. Step 6: Final answer
   x = 827.83