Finding the Fourth Proportional to 2,878.83, 3,970.89 and 2,290.77

Step by Step Solution

1. Step 1: Write the proportion equation
   2,878.83 : 3,970.89 = 2,290.77 : x
2. Step 2: Convert to fraction form
   2,878.83/3,970.89 = 2,290.77/x
3. Step 3: Cross multiply
   2,878.83x = 3,970.89 × 2,290.77
4. Step 4: Simplify right side
   2,878.83x = 9,096,395.69
5. Step 5: Solve for x
   x = 9,096,395.69/2,878.83
6. Step 6: Final answer
   x = 3,159.75