Finding the Fourth Proportional to 1,091.29, 1,637.06 and 311.33

Step by Step Solution

1. Step 1: Write the proportion equation
   1,091.29 : 1,637.06 = 311.33 : x
2. Step 2: Convert to fraction form
   1,091.29/1,637.06 = 311.33/x
3. Step 3: Cross multiply
   1,091.29x = 1,637.06 × 311.33
4. Step 4: Simplify right side
   1,091.29x = 509,665.89
5. Step 5: Solve for x
   x = 509,665.89/1,091.29
6. Step 6: Final answer
   x = 467.03