Finding the Fourth Proportional to 1,297.34, 1,945.98 and 431.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,297.34 : 1,945.98 = 431.62 : x
2. Step 2: Convert to fraction form
   1,297.34/1,945.98 = 431.62/x
3. Step 3: Cross multiply
   1,297.34x = 1,945.98 × 431.62
4. Step 4: Simplify right side
   1,297.34x = 839,923.89
5. Step 5: Solve for x
   x = 839,923.89/1,297.34
6. Step 6: Final answer
   x = 647.42