Finding the Fourth Proportional to 1,064.63, 1,596.69 and 406.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,064.63 : 1,596.69 = 406.37 : x
2. Step 2: Convert to fraction form
   1,064.63/1,596.69 = 406.37/x
3. Step 3: Cross multiply
   1,064.63x = 1,596.69 × 406.37
4. Step 4: Simplify right side
   1,064.63x = 648,846.92
5. Step 5: Solve for x
   x = 648,846.92/1,064.63
6. Step 6: Final answer
   x = 609.46