Finding the Fourth Proportional to 1,634.40, 2,255.82 and 1,005.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,634.40 : 2,255.82 = 1,005.46 : x
2. Step 2: Convert to fraction form
   1,634.40/2,255.82 = 1,005.46/x
3. Step 3: Cross multiply
   1,634.40x = 2,255.82 × 1,005.46
4. Step 4: Simplify right side
   1,634.40x = 2,268,136.78
5. Step 5: Solve for x
   x = 2,268,136.78/1,634.40
6. Step 6: Final answer
   x = 1,387.75