Finding the Fourth Proportional to 1,152.72, 1,729.32 and 422.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,152.72 : 1,729.32 = 422.31 : x
2. Step 2: Convert to fraction form
   1,152.72/1,729.32 = 422.31/x
3. Step 3: Cross multiply
   1,152.72x = 1,729.32 × 422.31
4. Step 4: Simplify right side
   1,152.72x = 730,309.13
5. Step 5: Solve for x
   x = 730,309.13/1,152.72
6. Step 6: Final answer
   x = 633.55