Finding the Fourth Proportional to 1,056.50, 1,584.61 and 440.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,056.50 : 1,584.61 = 440.09 : x
2. Step 2: Convert to fraction form
   1,056.50/1,584.61 = 440.09/x
3. Step 3: Cross multiply
   1,056.50x = 1,584.61 × 440.09
4. Step 4: Simplify right side
   1,056.50x = 697,360.89
5. Step 5: Solve for x
   x = 697,360.89/1,056.50
6. Step 6: Final answer
   x = 660.07