Finding the Fourth Proportional to 2,540.89, 3,809.86 and 785.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,540.89 : 3,809.86 = 785.42 : x
2. Step 2: Convert to fraction form
   2,540.89/3,809.86 = 785.42/x
3. Step 3: Cross multiply
   2,540.89x = 3,809.86 × 785.42
4. Step 4: Simplify right side
   2,540.89x = 2,992,346.44
5. Step 5: Solve for x
   x = 2,992,346.44/2,540.89
6. Step 6: Final answer
   x = 1,177.68