Finding the Fourth Proportional to 2,046.26, 3,066.96 and 1,178.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,046.26 : 3,066.96 = 1,178.78 : x
2. Step 2: Convert to fraction form
   2,046.26/3,066.96 = 1,178.78/x
3. Step 3: Cross multiply
   2,046.26x = 3,066.96 × 1,178.78
4. Step 4: Simplify right side
   2,046.26x = 3,615,271.11
5. Step 5: Solve for x
   x = 3,615,271.11/2,046.26
6. Step 6: Final answer
   x = 1,766.77