Finding the Fourth Proportional to 2,582.56, 3,870.24 and 1,852.48

Step by Step Solution

1. Step 1: Write the proportion equation
   2,582.56 : 3,870.24 = 1,852.48 : x
2. Step 2: Convert to fraction form
   2,582.56/3,870.24 = 1,852.48/x
3. Step 3: Cross multiply
   2,582.56x = 3,870.24 × 1,852.48
4. Step 4: Simplify right side
   2,582.56x = 7,169,542.20
5. Step 5: Solve for x
   x = 7,169,542.20/2,582.56
6. Step 6: Final answer
   x = 2,776.14