Finding the Fourth Proportional to 1,540.61, 2,305.05 and 945.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,540.61 : 2,305.05 = 945.50 : x
2. Step 2: Convert to fraction form
   1,540.61/2,305.05 = 945.50/x
3. Step 3: Cross multiply
   1,540.61x = 2,305.05 × 945.50
4. Step 4: Simplify right side
   1,540.61x = 2,179,413.25
5. Step 5: Solve for x
   x = 2,179,413.25/1,540.61
6. Step 6: Final answer
   x = 1,414.65