Finding the Fourth Proportional to 1,064.43, 1,596.78 and 406.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,064.43 : 1,596.78 = 406.71 : x
2. Step 2: Convert to fraction form
   1,064.43/1,596.78 = 406.71/x
3. Step 3: Cross multiply
   1,064.43x = 1,596.78 × 406.71
4. Step 4: Simplify right side
   1,064.43x = 649,426.39
5. Step 5: Solve for x
   x = 649,426.39/1,064.43
6. Step 6: Final answer
   x = 610.12