Finding the Fourth Proportional to 11,877.64, 16,388.48 and 7,096.30

Step by Step Solution

1. Step 1: Write the proportion equation
   11,877.64 : 16,388.48 = 7,096.30 : x
2. Step 2: Convert to fraction form
   11,877.64/16,388.48 = 7,096.30/x
3. Step 3: Cross multiply
   11,877.64x = 16,388.48 × 7,096.30
4. Step 4: Simplify right side
   11,877.64x = 116,297,570.62
5. Step 5: Solve for x
   x = 116,297,570.62/11,877.64
6. Step 6: Final answer
   x = 9,791.30