Finding the Fourth Proportional to 6,978.88, 10,466.16 and 2,297.84

Step by Step Solution

1. Step 1: Write the proportion equation
   6,978.88 : 10,466.16 = 2,297.84 : x
2. Step 2: Convert to fraction form
   6,978.88/10,466.16 = 2,297.84/x
3. Step 3: Cross multiply
   6,978.88x = 10,466.16 × 2,297.84
4. Step 4: Simplify right side
   6,978.88x = 24,049,561.09
5. Step 5: Solve for x
   x = 24,049,561.09/6,978.88
6. Step 6: Final answer
   x = 3,446.05