Finding the Fourth Proportional to 1,152.50, 1,729.47 and 422.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,152.50 : 1,729.47 = 422.42 : x
2. Step 2: Convert to fraction form
   1,152.50/1,729.47 = 422.42/x
3. Step 3: Cross multiply
   1,152.50x = 1,729.47 × 422.42
4. Step 4: Simplify right side
   1,152.50x = 730,562.72
5. Step 5: Solve for x
   x = 730,562.72/1,152.50
6. Step 6: Final answer
   x = 633.89