Finding the Fourth Proportional to 1,634.37, 2,255.61 and 926.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,634.37 : 2,255.61 = 926.22 : x
2. Step 2: Convert to fraction form
   1,634.37/2,255.61 = 926.22/x
3. Step 3: Cross multiply
   1,634.37x = 2,255.61 × 926.22
4. Step 4: Simplify right side
   1,634.37x = 2,089,191.09
5. Step 5: Solve for x
   x = 2,089,191.09/1,634.37
6. Step 6: Final answer
   x = 1,278.29