Finding the Fourth Proportional to 5,665.78, 7,807.89 and 3,775.24

Step by Step Solution

1. Step 1: Write the proportion equation
   5,665.78 : 7,807.89 = 3,775.24 : x
2. Step 2: Convert to fraction form
   5,665.78/7,807.89 = 3,775.24/x
3. Step 3: Cross multiply
   5,665.78x = 7,807.89 × 3,775.24
4. Step 4: Simplify right side
   5,665.78x = 29,476,658.64
5. Step 5: Solve for x
   x = 29,476,658.64/5,665.78
6. Step 6: Final answer
   x = 5,202.58