Finding the Fourth Proportional to 1,648.34, 2,274.71 and 892.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,648.34 : 2,274.71 = 892.12 : x
2. Step 2: Convert to fraction form
   1,648.34/2,274.71 = 892.12/x
3. Step 3: Cross multiply
   1,648.34x = 2,274.71 × 892.12
4. Step 4: Simplify right side
   1,648.34x = 2,029,308.40
5. Step 5: Solve for x
   x = 2,029,308.40/1,648.34
6. Step 6: Final answer
   x = 1,231.12