Finding the Fourth Proportional to 9,684.18, 14,527.62 and 3,111.06

Step by Step Solution

1. Step 1: Write the proportion equation
   9,684.18 : 14,527.62 = 3,111.06 : x
2. Step 2: Convert to fraction form
   9,684.18/14,527.62 = 3,111.06/x
3. Step 3: Cross multiply
   9,684.18x = 14,527.62 × 3,111.06
4. Step 4: Simplify right side
   9,684.18x = 45,196,297.48
5. Step 5: Solve for x
   x = 45,196,297.48/9,684.18
6. Step 6: Final answer
   x = 4,667.02