Finding the Fourth Proportional to 1,152.86, 1,729.55 and 422.43

Step by Step Solution

1. Step 1: Write the proportion equation
   1,152.86 : 1,729.55 = 422.43 : x
2. Step 2: Convert to fraction form
   1,152.86/1,729.55 = 422.43/x
3. Step 3: Cross multiply
   1,152.86x = 1,729.55 × 422.43
4. Step 4: Simplify right side
   1,152.86x = 730,611.69
5. Step 5: Solve for x
   x = 730,611.69/1,152.86
6. Step 6: Final answer
   x = 633.74