Finding the Fourth Proportional to 1,638.50, 2,261.12 and 892.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,638.50 : 2,261.12 = 892.46 : x
2. Step 2: Convert to fraction form
   1,638.50/2,261.12 = 892.46/x
3. Step 3: Cross multiply
   1,638.50x = 2,261.12 × 892.46
4. Step 4: Simplify right side
   1,638.50x = 2,017,960.35
5. Step 5: Solve for x
   x = 2,017,960.35/1,638.50
6. Step 6: Final answer
   x = 1,231.59