Finding the Fourth Proportional to 1,220.71, 1,827.61 and 1,105.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,220.71 : 1,827.61 = 1,105.37 : x
2. Step 2: Convert to fraction form
   1,220.71/1,827.61 = 1,105.37/x
3. Step 3: Cross multiply
   1,220.71x = 1,827.61 × 1,105.37
4. Step 4: Simplify right side
   1,220.71x = 2,020,185.27
5. Step 5: Solve for x
   x = 2,020,185.27/1,220.71
6. Step 6: Final answer
   x = 1,654.93