Finding the Fourth Proportional to 1,540.89, 2,309.83 and 1,227.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,540.89 : 2,309.83 = 1,227.77 : x
2. Step 2: Convert to fraction form
   1,540.89/2,309.83 = 1,227.77/x
3. Step 3: Cross multiply
   1,540.89x = 2,309.83 × 1,227.77
4. Step 4: Simplify right side
   1,540.89x = 2,835,939.98
5. Step 5: Solve for x
   x = 2,835,939.98/1,540.89
6. Step 6: Final answer
   x = 1,840.46