Finding the Fourth Proportional to 1,131.54, 1,697.31 and 309.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,131.54 : 1,697.31 = 309.82 : x
2. Step 2: Convert to fraction form
   1,131.54/1,697.31 = 309.82/x
3. Step 3: Cross multiply
   1,131.54x = 1,697.31 × 309.82
4. Step 4: Simplify right side
   1,131.54x = 525,855.18
5. Step 5: Solve for x
   x = 525,855.18/1,131.54
6. Step 6: Final answer
   x = 464.73