Finding the Fourth Proportional to 2,654.78, 3,981.64 and 805.46

Step by Step Solution

1. Step 1: Write the proportion equation
   2,654.78 : 3,981.64 = 805.46 : x
2. Step 2: Convert to fraction form
   2,654.78/3,981.64 = 805.46/x
3. Step 3: Cross multiply
   2,654.78x = 3,981.64 × 805.46
4. Step 4: Simplify right side
   2,654.78x = 3,207,051.75
5. Step 5: Solve for x
   x = 3,207,051.75/2,654.78
6. Step 6: Final answer
   x = 1,208.03