Finding the Fourth Proportional to 1,131.42, 1,696.98 and 309.60

Step by Step Solution

1. Step 1: Write the proportion equation
   1,131.42 : 1,696.98 = 309.60 : x
2. Step 2: Convert to fraction form
   1,131.42/1,696.98 = 309.60/x
3. Step 3: Cross multiply
   1,131.42x = 1,696.98 × 309.60
4. Step 4: Simplify right side
   1,131.42x = 525,385.01
5. Step 5: Solve for x
   x = 525,385.01/1,131.42
6. Step 6: Final answer
   x = 464.36