Finding the Fourth Proportional to 9,185.25, 13,768.24 and 3,851.47

Step by Step Solution

1. Step 1: Write the proportion equation
   9,185.25 : 13,768.24 = 3,851.47 : x
2. Step 2: Convert to fraction form
   9,185.25/13,768.24 = 3,851.47/x
3. Step 3: Cross multiply
   9,185.25x = 13,768.24 × 3,851.47
4. Step 4: Simplify right side
   9,185.25x = 53,027,963.31
5. Step 5: Solve for x
   x = 53,027,963.31/9,185.25
6. Step 6: Final answer
   x = 5,773.16