Finding the Fourth Proportional to 1,172.34, 1,758.42 and 488.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,172.34 : 1,758.42 = 488.34 : x
2. Step 2: Convert to fraction form
   1,172.34/1,758.42 = 488.34/x
3. Step 3: Cross multiply
   1,172.34x = 1,758.42 × 488.34
4. Step 4: Simplify right side
   1,172.34x = 858,706.82
5. Step 5: Solve for x
   x = 858,706.82/1,172.34
6. Step 6: Final answer
   x = 732.47