Finding the Fourth Proportional to 4,091.20, 5,649.60 and 2,978.56

Step by Step Solution

1. Step 1: Write the proportion equation
   4,091.20 : 5,649.60 = 2,978.56 : x
2. Step 2: Convert to fraction form
   4,091.20/5,649.60 = 2,978.56/x
3. Step 3: Cross multiply
   4,091.20x = 5,649.60 × 2,978.56
4. Step 4: Simplify right side
   4,091.20x = 16,827,672.58
5. Step 5: Solve for x
   x = 16,827,672.58/4,091.20
6. Step 6: Final answer
   x = 4,113.14