Finding the Fourth Proportional to 11,462.96, 17,116.82 and 9,096.40

Step by Step Solution

1. Step 1: Write the proportion equation
   11,462.96 : 17,116.82 = 9,096.40 : x
2. Step 2: Convert to fraction form
   11,462.96/17,116.82 = 9,096.40/x
3. Step 3: Cross multiply
   11,462.96x = 17,116.82 × 9,096.40
4. Step 4: Simplify right side
   11,462.96x = 155,701,441.45
5. Step 5: Solve for x
   x = 155,701,441.45/11,462.96
6. Step 6: Final answer
   x = 13,583.00