Finding the Fourth Proportional to 6,978.35, 9,628.76 and 4,146.59

Step by Step Solution

1. Step 1: Write the proportion equation
   6,978.35 : 9,628.76 = 4,146.59 : x
2. Step 2: Convert to fraction form
   6,978.35/9,628.76 = 4,146.59/x
3. Step 3: Cross multiply
   6,978.35x = 9,628.76 × 4,146.59
4. Step 4: Simplify right side
   6,978.35x = 39,926,499.20
5. Step 5: Solve for x
   x = 39,926,499.20/6,978.35
6. Step 6: Final answer
   x = 5,721.48