Finding the Fourth Proportional to 1,214, 1,822.83 and 599.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,214 : 1,822.83 = 599.82 : x
2. Step 2: Convert to fraction form
   1,214/1,822.83 = 599.82/x
3. Step 3: Cross multiply
   1,214x = 1,822.83 × 599.82
4. Step 4: Simplify right side
   1,214x = 1,093,369.89
5. Step 5: Solve for x
   x = 1,093,369.89/1,214
6. Step 6: Final answer
   x = 900.63