Finding the Fourth Proportional to 1,153.71, 1,729.49 and 422.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,153.71 : 1,729.49 = 422.72 : x
2. Step 2: Convert to fraction form
   1,153.71/1,729.49 = 422.72/x
3. Step 3: Cross multiply
   1,153.71x = 1,729.49 × 422.72
4. Step 4: Simplify right side
   1,153.71x = 731,085.74
5. Step 5: Solve for x
   x = 731,085.74/1,153.71
6. Step 6: Final answer
   x = 633.68