Finding the Fourth Proportional to 1,601.42, 2,209.92 and 902.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,601.42 : 2,209.92 = 902.78 : x
2. Step 2: Convert to fraction form
   1,601.42/2,209.92 = 902.78/x
3. Step 3: Cross multiply
   1,601.42x = 2,209.92 × 902.78
4. Step 4: Simplify right side
   1,601.42x = 1,995,071.58
5. Step 5: Solve for x
   x = 1,995,071.58/1,601.42
6. Step 6: Final answer
   x = 1,245.81