Finding the Fourth Proportional to 9,686.16, 14,527.83 and 3,111.48

Step by Step Solution

1. Step 1: Write the proportion equation
   9,686.16 : 14,527.83 = 3,111.48 : x
2. Step 2: Convert to fraction form
   9,686.16/14,527.83 = 3,111.48/x
3. Step 3: Cross multiply
   9,686.16x = 14,527.83 × 3,111.48
4. Step 4: Simplify right side
   9,686.16x = 45,203,052.49
5. Step 5: Solve for x
   x = 45,203,052.49/9,686.16
6. Step 6: Final answer
   x = 4,666.77