Finding the Fourth Proportional to 9,311.34, 13,969.62 and 3,768.58

Step by Step Solution

1. Step 1: Write the proportion equation
   9,311.34 : 13,969.62 = 3,768.58 : x
2. Step 2: Convert to fraction form
   9,311.34/13,969.62 = 3,768.58/x
3. Step 3: Cross multiply
   9,311.34x = 13,969.62 × 3,768.58
4. Step 4: Simplify right side
   9,311.34x = 52,645,630.54
5. Step 5: Solve for x
   x = 52,645,630.54/9,311.34
6. Step 6: Final answer
   x = 5,653.93