Finding the Fourth Proportional to 9,706.10, 14,523.15 and 7,114.10

Step by Step Solution

1. Step 1: Write the proportion equation
   9,706.10 : 14,523.15 = 7,114.10 : x
2. Step 2: Convert to fraction form
   9,706.10/14,523.15 = 7,114.10/x
3. Step 3: Cross multiply
   9,706.10x = 14,523.15 × 7,114.10
4. Step 4: Simplify right side
   9,706.10x = 103,319,141.42
5. Step 5: Solve for x
   x = 103,319,141.42/9,706.10
6. Step 6: Final answer
   x = 10,644.76