Finding the Fourth Proportional to 3,884.25, 5,830.56 and 2,242.38

Step by Step Solution

1. Step 1: Write the proportion equation
   3,884.25 : 5,830.56 = 2,242.38 : x
2. Step 2: Convert to fraction form
   3,884.25/5,830.56 = 2,242.38/x
3. Step 3: Cross multiply
   3,884.25x = 5,830.56 × 2,242.38
4. Step 4: Simplify right side
   3,884.25x = 13,074,331.13
5. Step 5: Solve for x
   x = 13,074,331.13/3,884.25
6. Step 6: Final answer
   x = 3,365.99