Finding the Fourth Proportional to 1,064.34, 1,596.42 and 405.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,064.34 : 1,596.42 = 405.94 : x
2. Step 2: Convert to fraction form
   1,064.34/1,596.42 = 405.94/x
3. Step 3: Cross multiply
   1,064.34x = 1,596.42 × 405.94
4. Step 4: Simplify right side
   1,064.34x = 648,050.73
5. Step 5: Solve for x
   x = 648,050.73/1,064.34
6. Step 6: Final answer
   x = 608.88