Finding the Fourth Proportional to 6,978.17, 9,628.34 and 4,146.47

Step by Step Solution

1. Step 1: Write the proportion equation
   6,978.17 : 9,628.34 = 4,146.47 : x
2. Step 2: Convert to fraction form
   6,978.17/9,628.34 = 4,146.47/x
3. Step 3: Cross multiply
   6,978.17x = 9,628.34 × 4,146.47
4. Step 4: Simplify right side
   6,978.17x = 39,923,554.09
5. Step 5: Solve for x
   x = 39,923,554.09/6,978.17
6. Step 6: Final answer
   x = 5,721.21