Finding the Fourth Proportional to 6,978.61, 9,629.12 and 4,458.78

Step by Step Solution

1. Step 1: Write the proportion equation
   6,978.61 : 9,629.12 = 4,458.78 : x
2. Step 2: Convert to fraction form
   6,978.61/9,629.12 = 4,458.78/x
3. Step 3: Cross multiply
   6,978.61x = 9,629.12 × 4,458.78
4. Step 4: Simplify right side
   6,978.61x = 42,934,127.67
5. Step 5: Solve for x
   x = 42,934,127.67/6,978.61
6. Step 6: Final answer
   x = 6,152.25