Finding the Fourth Proportional to 1,152.89, 1,727.94 and 422.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,152.89 : 1,727.94 = 422.06 : x
2. Step 2: Convert to fraction form
   1,152.89/1,727.94 = 422.06/x
3. Step 3: Cross multiply
   1,152.89x = 1,727.94 × 422.06
4. Step 4: Simplify right side
   1,152.89x = 729,294.36
5. Step 5: Solve for x
   x = 729,294.36/1,152.89
6. Step 6: Final answer
   x = 632.58