Finding the Fourth Proportional to 7,631.78, 10,538.37 and 5,740.09

Step by Step Solution

1. Step 1: Write the proportion equation
   7,631.78 : 10,538.37 = 5,740.09 : x
2. Step 2: Convert to fraction form
   7,631.78/10,538.37 = 5,740.09/x
3. Step 3: Cross multiply
   7,631.78x = 10,538.37 × 5,740.09
4. Step 4: Simplify right side
   7,631.78x = 60,491,165.91
5. Step 5: Solve for x
   x = 60,491,165.91/7,631.78
6. Step 6: Final answer
   x = 7,926.23