Finding the Fourth Proportional to 5,200.78, 7,795.23 and 2,238.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,200.78 : 7,795.23 = 2,238.25 : x
2. Step 2: Convert to fraction form
   5,200.78/7,795.23 = 2,238.25/x
3. Step 3: Cross multiply
   5,200.78x = 7,795.23 × 2,238.25
4. Step 4: Simplify right side
   5,200.78x = 17,447,673.55
5. Step 5: Solve for x
   x = 17,447,673.55/5,200.78
6. Step 6: Final answer
   x = 3,354.82