Finding the Fourth Proportional to 2,978.56, 4,461.44 and 2,896.64

Step by Step Solution

1. Step 1: Write the proportion equation
   2,978.56 : 4,461.44 = 2,896.64 : x
2. Step 2: Convert to fraction form
   2,978.56/4,461.44 = 2,896.64/x
3. Step 3: Cross multiply
   2,978.56x = 4,461.44 × 2,896.64
4. Step 4: Simplify right side
   2,978.56x = 12,923,185.56
5. Step 5: Solve for x
   x = 12,923,185.56/2,978.56
6. Step 6: Final answer
   x = 4,338.74