Finding the Fourth Proportional to 771.42, 1,064.52 and 422.10

Step by Step Solution

1. Step 1: Write the proportion equation
   771.42 : 1,064.52 = 422.10 : x
2. Step 2: Convert to fraction form
   771.42/1,064.52 = 422.10/x
3. Step 3: Cross multiply
   771.42x = 1,064.52 × 422.10
4. Step 4: Simplify right side
   771.42x = 449,333.89
5. Step 5: Solve for x
   x = 449,333.89/771.42
6. Step 6: Final answer
   x = 582.48