Finding the Fourth Proportional to 1,601.44, 2,209.96 and 902.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,601.44 : 2,209.96 = 902.82 : x
2. Step 2: Convert to fraction form
   1,601.44/2,209.96 = 902.82/x
3. Step 3: Cross multiply
   1,601.44x = 2,209.96 × 902.82
4. Step 4: Simplify right side
   1,601.44x = 1,995,196.09
5. Step 5: Solve for x
   x = 1,995,196.09/1,601.44
6. Step 6: Final answer
   x = 1,245.88