Finding the Fourth Proportional to 1,131.57, 1,697.43 and 309.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,131.57 : 1,697.43 = 309.83 : x
2. Step 2: Convert to fraction form
   1,131.57/1,697.43 = 309.83/x
3. Step 3: Cross multiply
   1,131.57x = 1,697.43 × 309.83
4. Step 4: Simplify right side
   1,131.57x = 525,906.25
5. Step 5: Solve for x
   x = 525,906.25/1,131.57
6. Step 6: Final answer
   x = 464.76