Finding the Fourth Proportional to 10,076.42, 13,907.10 and 8,395.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,076.42 : 13,907.10 = 8,395.16 : x
2. Step 2: Convert to fraction form
   10,076.42/13,907.10 = 8,395.16/x
3. Step 3: Cross multiply
   10,076.42x = 13,907.10 × 8,395.16
4. Step 4: Simplify right side
   10,076.42x = 116,752,329.64
5. Step 5: Solve for x
   x = 116,752,329.64/10,076.42
6. Step 6: Final answer
   x = 11,586.69