Finding the Fourth Proportional to 9,706.14, 14,554.89 and 4,513.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,706.14 : 14,554.89 = 4,513.50 : x
2. Step 2: Convert to fraction form
   9,706.14/14,554.89 = 4,513.50/x
3. Step 3: Cross multiply
   9,706.14x = 14,554.89 × 4,513.50
4. Step 4: Simplify right side
   9,706.14x = 65,693,496.02
5. Step 5: Solve for x
   x = 65,693,496.02/9,706.14
6. Step 6: Final answer
   x = 6,768.24