Finding the Fourth Proportional to 2,577.81, 3,863.22 and 1,188.09

Step by Step Solution

1. Step 1: Write the proportion equation
   2,577.81 : 3,863.22 = 1,188.09 : x
2. Step 2: Convert to fraction form
   2,577.81/3,863.22 = 1,188.09/x
3. Step 3: Cross multiply
   2,577.81x = 3,863.22 × 1,188.09
4. Step 4: Simplify right side
   2,577.81x = 4,589,853.05
5. Step 5: Solve for x
   x = 4,589,853.05/2,577.81
6. Step 6: Final answer
   x = 1,780.52