Finding the Fourth Proportional to 1,152.59, 1,729.62 and 422.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,152.59 : 1,729.62 = 422.10 : x
2. Step 2: Convert to fraction form
   1,152.59/1,729.62 = 422.10/x
3. Step 3: Cross multiply
   1,152.59x = 1,729.62 × 422.10
4. Step 4: Simplify right side
   1,152.59x = 730,072.60
5. Step 5: Solve for x
   x = 730,072.60/1,152.59
6. Step 6: Final answer
   x = 633.42