Finding the Fourth Proportional to 2,578.85, 3,866.52 and 1,191.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,578.85 : 3,866.52 = 1,191.42 : x
2. Step 2: Convert to fraction form
   2,578.85/3,866.52 = 1,191.42/x
3. Step 3: Cross multiply
   2,578.85x = 3,866.52 × 1,191.42
4. Step 4: Simplify right side
   2,578.85x = 4,606,649.26
5. Step 5: Solve for x
   x = 4,606,649.26/2,578.85
6. Step 6: Final answer
   x = 1,786.32