Finding the Fourth Proportional to 771.50, 1,064.77 and 435.47

Step by Step Solution

1. Step 1: Write the proportion equation
   771.50 : 1,064.77 = 435.47 : x
2. Step 2: Convert to fraction form
   771.50/1,064.77 = 435.47/x
3. Step 3: Cross multiply
   771.50x = 1,064.77 × 435.47
4. Step 4: Simplify right side
   771.50x = 463,667.89
5. Step 5: Solve for x
   x = 463,667.89/771.50
6. Step 6: Final answer
   x = 601.00