Finding the Fourth Proportional to 9,758.64, 14,638.56 and 3,914.49

Step by Step Solution

1. Step 1: Write the proportion equation
   9,758.64 : 14,638.56 = 3,914.49 : x
2. Step 2: Convert to fraction form
   9,758.64/14,638.56 = 3,914.49/x
3. Step 3: Cross multiply
   9,758.64x = 14,638.56 × 3,914.49
4. Step 4: Simplify right side
   9,758.64x = 57,302,496.73
5. Step 5: Solve for x
   x = 57,302,496.73/9,758.64
6. Step 6: Final answer
   x = 5,871.98