Finding the Fourth Proportional to 1,638.87, 2,261.62 and 892.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,638.87 : 2,261.62 = 892.82 : x
2. Step 2: Convert to fraction form
   1,638.87/2,261.62 = 892.82/x
3. Step 3: Cross multiply
   1,638.87x = 2,261.62 × 892.82
4. Step 4: Simplify right side
   1,638.87x = 2,019,215.10
5. Step 5: Solve for x
   x = 2,019,215.10/1,638.87
6. Step 6: Final answer
   x = 1,232.08