Finding the Fourth Proportional to 7,876.54, 11,814.56 and 3,196.41

Step by Step Solution

1. Step 1: Write the proportion equation
   7,876.54 : 11,814.56 = 3,196.41 : x
2. Step 2: Convert to fraction form
   7,876.54/11,814.56 = 3,196.41/x
3. Step 3: Cross multiply
   7,876.54x = 11,814.56 × 3,196.41
4. Step 4: Simplify right side
   7,876.54x = 37,764,195.89
5. Step 5: Solve for x
   x = 37,764,195.89/7,876.54
6. Step 6: Final answer
   x = 4,794.52