Finding the Fourth Proportional to 1,634.50, 2,255.71 and 926.41

Step by Step Solution

1. Step 1: Write the proportion equation
   1,634.50 : 2,255.71 = 926.41 : x
2. Step 2: Convert to fraction form
   1,634.50/2,255.71 = 926.41/x
3. Step 3: Cross multiply
   1,634.50x = 2,255.71 × 926.41
4. Step 4: Simplify right side
   1,634.50x = 2,089,712.30
5. Step 5: Solve for x
   x = 2,089,712.30/1,634.50
6. Step 6: Final answer
   x = 1,278.50