Finding the Fourth Proportional to 1,063.89, 1,594.60 and 414.07

Step by Step Solution

1. Step 1: Write the proportion equation
   1,063.89 : 1,594.60 = 414.07 : x
2. Step 2: Convert to fraction form
   1,063.89/1,594.60 = 414.07/x
3. Step 3: Cross multiply
   1,063.89x = 1,594.60 × 414.07
4. Step 4: Simplify right side
   1,063.89x = 660,276.02
5. Step 5: Solve for x
   x = 660,276.02/1,063.89
6. Step 6: Final answer
   x = 620.62