Finding the Fourth Proportional to 7,978.25, 11,968.59 and 2,782.91

Step by Step Solution

1. Step 1: Write the proportion equation
   7,978.25 : 11,968.59 = 2,782.91 : x
2. Step 2: Convert to fraction form
   7,978.25/11,968.59 = 2,782.91/x
3. Step 3: Cross multiply
   7,978.25x = 11,968.59 × 2,782.91
4. Step 4: Simplify right side
   7,978.25x = 33,307,448.95
5. Step 5: Solve for x
   x = 33,307,448.95/7,978.25
6. Step 6: Final answer
   x = 4,174.78