Finding the Fourth Proportional to 7,978.50, 11,969.68 and 2,506.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,978.50 : 11,969.68 = 2,506.50 : x
2. Step 2: Convert to fraction form
   7,978.50/11,969.68 = 2,506.50/x
3. Step 3: Cross multiply
   7,978.50x = 11,969.68 × 2,506.50
4. Step 4: Simplify right side
   7,978.50x = 30,002,002.92
5. Step 5: Solve for x
   x = 30,002,002.92/7,978.50
6. Step 6: Final answer
   x = 3,760.36