Finding the Fourth Proportional to 9,677.23, 14,513.78 and 3,101.65

Step by Step Solution

1. Step 1: Write the proportion equation
   9,677.23 : 14,513.78 = 3,101.65 : x
2. Step 2: Convert to fraction form
   9,677.23/14,513.78 = 3,101.65/x
3. Step 3: Cross multiply
   9,677.23x = 14,513.78 × 3,101.65
4. Step 4: Simplify right side
   9,677.23x = 45,016,665.74
5. Step 5: Solve for x
   x = 45,016,665.74/9,677.23
6. Step 6: Final answer
   x = 4,651.81