Finding the Fourth Proportional to 7,978.52, 11,973.25 and 2,784.40

Step by Step Solution

1. Step 1: Write the proportion equation
   7,978.52 : 11,973.25 = 2,784.40 : x
2. Step 2: Convert to fraction form
   7,978.52/11,973.25 = 2,784.40/x
3. Step 3: Cross multiply
   7,978.52x = 11,973.25 × 2,784.40
4. Step 4: Simplify right side
   7,978.52x = 33,338,290.85
5. Step 5: Solve for x
   x = 33,338,290.85/7,978.52
6. Step 6: Final answer
   x = 4,178.50