Finding the Fourth Proportional to 9,096.14, 12,549.12 and 5,116.34

Step by Step Solution

1. Step 1: Write the proportion equation
   9,096.14 : 12,549.12 = 5,116.34 : x
2. Step 2: Convert to fraction form
   9,096.14/12,549.12 = 5,116.34/x
3. Step 3: Cross multiply
   9,096.14x = 12,549.12 × 5,116.34
4. Step 4: Simplify right side
   9,096.14x = 64,205,564.62
5. Step 5: Solve for x
   x = 64,205,564.62/9,096.14
6. Step 6: Final answer
   x = 7,058.55