Finding the Fourth Proportional to 1,224.50, 1,827.77 and 1,052.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,224.50 : 1,827.77 = 1,052.27 : x
2. Step 2: Convert to fraction form
   1,224.50/1,827.77 = 1,052.27/x
3. Step 3: Cross multiply
   1,224.50x = 1,827.77 × 1,052.27
4. Step 4: Simplify right side
   1,224.50x = 1,923,293.14
5. Step 5: Solve for x
   x = 1,923,293.14/1,224.50
6. Step 6: Final answer
   x = 1,570.68