Finding the Fourth Proportional to 9,680.11, 14,531.10 and 3,840.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,680.11 : 14,531.10 = 3,840.82 : x
2. Step 2: Convert to fraction form
   9,680.11/14,531.10 = 3,840.82/x
3. Step 3: Cross multiply
   9,680.11x = 14,531.10 × 3,840.82
4. Step 4: Simplify right side
   9,680.11x = 55,811,288.77
5. Step 5: Solve for x
   x = 55,811,288.77/9,680.11
6. Step 6: Final answer
   x = 5,765.56