Finding the Fourth Proportional to 7,111.78, 9,814.17 and 3,968.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,111.78 : 9,814.17 = 3,968.50 : x
2. Step 2: Convert to fraction form
   7,111.78/9,814.17 = 3,968.50/x
3. Step 3: Cross multiply
   7,111.78x = 9,814.17 × 3,968.50
4. Step 4: Simplify right side
   7,111.78x = 38,947,533.65
5. Step 5: Solve for x
   x = 38,947,533.65/7,111.78
6. Step 6: Final answer
   x = 5,476.48