Finding the Fourth Proportional to 9,096.75, 12,554.10 and 5,514.17

Step by Step Solution

1. Step 1: Write the proportion equation
   9,096.75 : 12,554.10 = 5,514.17 : x
2. Step 2: Convert to fraction form
   9,096.75/12,554.10 = 5,514.17/x
3. Step 3: Cross multiply
   9,096.75x = 12,554.10 × 5,514.17
4. Step 4: Simplify right side
   9,096.75x = 69,225,378.83
5. Step 5: Solve for x
   x = 69,225,378.83/9,096.75
6. Step 6: Final answer
   x = 7,609.90