Finding the Fourth Proportional to 9,677.22, 14,513.78 and 3,101.64

Step by Step Solution

1. Step 1: Write the proportion equation
   9,677.22 : 14,513.78 = 3,101.64 : x
2. Step 2: Convert to fraction form
   9,677.22/14,513.78 = 3,101.64/x
3. Step 3: Cross multiply
   9,677.22x = 14,513.78 × 3,101.64
4. Step 4: Simplify right side
   9,677.22x = 45,016,520.60
5. Step 5: Solve for x
   x = 45,016,520.60/9,677.22
6. Step 6: Final answer
   x = 4,651.80