Finding the Fourth Proportional to 7,978.90, 11,968.41 and 2,784.82

Step by Step Solution

1. Step 1: Write the proportion equation
   7,978.90 : 11,968.41 = 2,784.82 : x
2. Step 2: Convert to fraction form
   7,978.90/11,968.41 = 2,784.82/x
3. Step 3: Cross multiply
   7,978.90x = 11,968.41 × 2,784.82
4. Step 4: Simplify right side
   7,978.90x = 33,329,867.54
5. Step 5: Solve for x
   x = 33,329,867.54/7,978.90
6. Step 6: Final answer
   x = 4,177.25