Finding the Fourth Proportional to 3,830.14, 5,287.61 and 2,577.78

Step by Step Solution

1. Step 1: Write the proportion equation
   3,830.14 : 5,287.61 = 2,577.78 : x
2. Step 2: Convert to fraction form
   3,830.14/5,287.61 = 2,577.78/x
3. Step 3: Cross multiply
   3,830.14x = 5,287.61 × 2,577.78
4. Step 4: Simplify right side
   3,830.14x = 13,630,295.31
5. Step 5: Solve for x
   x = 13,630,295.31/3,830.14
6. Step 6: Final answer
   x = 3,558.69