Finding the Fourth Proportional to 2,577.20, 3,866.56 and 1,828.15

Step by Step Solution

1. Step 1: Write the proportion equation
   2,577.20 : 3,866.56 = 1,828.15 : x
2. Step 2: Convert to fraction form
   2,577.20/3,866.56 = 1,828.15/x
3. Step 3: Cross multiply
   2,577.20x = 3,866.56 × 1,828.15
4. Step 4: Simplify right side
   2,577.20x = 7,068,642.00
5. Step 5: Solve for x
   x = 7,068,642.00/2,577.20
6. Step 6: Final answer
   x = 2,742.77