Finding the Fourth Proportional to 1,228.12, 1,841.59 and 448.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,228.12 : 1,841.59 = 448.02 : x
2. Step 2: Convert to fraction form
   1,228.12/1,841.59 = 448.02/x
3. Step 3: Cross multiply
   1,228.12x = 1,841.59 × 448.02
4. Step 4: Simplify right side
   1,228.12x = 825,069.15
5. Step 5: Solve for x
   x = 825,069.15/1,228.12
6. Step 6: Final answer
   x = 671.81