Finding the Fourth Proportional to 10,934.49, 15,096.86 and 8,412.15

Step by Step Solution

1. Step 1: Write the proportion equation
   10,934.49 : 15,096.86 = 8,412.15 : x
2. Step 2: Convert to fraction form
   10,934.49/15,096.86 = 8,412.15/x
3. Step 3: Cross multiply
   10,934.49x = 15,096.86 × 8,412.15
4. Step 4: Simplify right side
   10,934.49x = 126,997,066.32
5. Step 5: Solve for x
   x = 126,997,066.32/10,934.49
6. Step 6: Final answer
   x = 11,614.36