Finding the Fourth Proportional to 1,638.82, 2,261.58 and 892.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,638.82 : 2,261.58 = 892.78 : x
2. Step 2: Convert to fraction form
   1,638.82/2,261.58 = 892.78/x
3. Step 3: Cross multiply
   1,638.82x = 2,261.58 × 892.78
4. Step 4: Simplify right side
   1,638.82x = 2,019,093.39
5. Step 5: Solve for x
   x = 2,019,093.39/1,638.82
6. Step 6: Final answer
   x = 1,232.04