Finding the Fourth Proportional to 2,878.37, 3,976.93 and 2,560.81

Step by Step Solution

1. Step 1: Write the proportion equation
   2,878.37 : 3,976.93 = 2,560.81 : x
2. Step 2: Convert to fraction form
   2,878.37/3,976.93 = 2,560.81/x
3. Step 3: Cross multiply
   2,878.37x = 3,976.93 × 2,560.81
4. Step 4: Simplify right side
   2,878.37x = 10,184,162.11
5. Step 5: Solve for x
   x = 10,184,162.11/2,878.37
6. Step 6: Final answer
   x = 3,538.17