Finding the Fourth Proportional to 1,056.42, 1,584.50 and 406.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,056.42 : 1,584.50 = 406.71 : x
2. Step 2: Convert to fraction form
   1,056.42/1,584.50 = 406.71/x
3. Step 3: Cross multiply
   1,056.42x = 1,584.50 × 406.71
4. Step 4: Simplify right side
   1,056.42x = 644,429.96
5. Step 5: Solve for x
   x = 644,429.96/1,056.42
6. Step 6: Final answer
   x = 610.01