Finding the Fourth Proportional to 9,659.52, 14,496.48 and 3,820.14

Step by Step Solution

1. Step 1: Write the proportion equation
   9,659.52 : 14,496.48 = 3,820.14 : x
2. Step 2: Convert to fraction form
   9,659.52/14,496.48 = 3,820.14/x
3. Step 3: Cross multiply
   9,659.52x = 14,496.48 × 3,820.14
4. Step 4: Simplify right side
   9,659.52x = 55,378,583.11
5. Step 5: Solve for x
   x = 55,378,583.11/9,659.52
6. Step 6: Final answer
   x = 5,733.06