Finding the Fourth Proportional to 6,978.87, 10,465.88 and 2,297.61

Step by Step Solution

1. Step 1: Write the proportion equation
   6,978.87 : 10,465.88 = 2,297.61 : x
2. Step 2: Convert to fraction form
   6,978.87/10,465.88 = 2,297.61/x
3. Step 3: Cross multiply
   6,978.87x = 10,465.88 × 2,297.61
4. Step 4: Simplify right side
   6,978.87x = 24,046,499.06
5. Step 5: Solve for x
   x = 24,046,499.06/6,978.87
6. Step 6: Final answer
   x = 3,445.61