Finding the Fourth Proportional to 1,538.84, 2,308.60 and 443.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,538.84 : 2,308.60 = 443.12 : x
2. Step 2: Convert to fraction form
   1,538.84/2,308.60 = 443.12/x
3. Step 3: Cross multiply
   1,538.84x = 2,308.60 × 443.12
4. Step 4: Simplify right side
   1,538.84x = 1,022,986.83
5. Step 5: Solve for x
   x = 1,022,986.83/1,538.84
6. Step 6: Final answer
   x = 664.78