Finding the Fourth Proportional to 1,227.86, 1,843.62 and 1,206

Step by Step Solution

1. Step 1: Write the proportion equation
   1,227.86 : 1,843.62 = 1,206 : x
2. Step 2: Convert to fraction form
   1,227.86/1,843.62 = 1,206/x
3. Step 3: Cross multiply
   1,227.86x = 1,843.62 × 1,206
4. Step 4: Simplify right side
   1,227.86x = 2,223,405.72
5. Step 5: Solve for x
   x = 2,223,405.72/1,227.86
6. Step 6: Final answer
   x = 1,810.80