Finding the Fourth Proportional to 2,978.80, 4,109.40 and 2,095.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,978.80 : 4,109.40 = 2,095.20 : x
2. Step 2: Convert to fraction form
   2,978.80/4,109.40 = 2,095.20/x
3. Step 3: Cross multiply
   2,978.80x = 4,109.40 × 2,095.20
4. Step 4: Simplify right side
   2,978.80x = 8,610,014.88
5. Step 5: Solve for x
   x = 8,610,014.88/2,978.80
6. Step 6: Final answer
   x = 2,890.43