Finding the Fourth Proportional to 1,018.98, 1,406.16 and 599.40

Step by Step Solution

1. Step 1: Write the proportion equation
   1,018.98 : 1,406.16 = 599.40 : x
2. Step 2: Convert to fraction form
   1,018.98/1,406.16 = 599.40/x
3. Step 3: Cross multiply
   1,018.98x = 1,406.16 × 599.40
4. Step 4: Simplify right side
   1,018.98x = 842,852.30
5. Step 5: Solve for x
   x = 842,852.30/1,018.98
6. Step 6: Final answer
   x = 827.15