Finding the Fourth Proportional to 9,114.04, 13,665.30 and 3,847.60

Step by Step Solution

1. Step 1: Write the proportion equation
   9,114.04 : 13,665.30 = 3,847.60 : x
2. Step 2: Convert to fraction form
   9,114.04/13,665.30 = 3,847.60/x
3. Step 3: Cross multiply
   9,114.04x = 13,665.30 × 3,847.60
4. Step 4: Simplify right side
   9,114.04x = 52,578,608.28
5. Step 5: Solve for x
   x = 52,578,608.28/9,114.04
6. Step 6: Final answer
   x = 5,768.97