Finding the Fourth Proportional to 1,629.82, 2,443.47 and 533.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,629.82 : 2,443.47 = 533.50 : x
2. Step 2: Convert to fraction form
   1,629.82/2,443.47 = 533.50/x
3. Step 3: Cross multiply
   1,629.82x = 2,443.47 × 533.50
4. Step 4: Simplify right side
   1,629.82x = 1,303,591.25
5. Step 5: Solve for x
   x = 1,303,591.25/1,629.82
6. Step 6: Final answer
   x = 799.84