Finding the Fourth Proportional to 11,687.64, 17,536.88 and 5,112.96

Step by Step Solution

1. Step 1: Write the proportion equation
   11,687.64 : 17,536.88 = 5,112.96 : x
2. Step 2: Convert to fraction form
   11,687.64/17,536.88 = 5,112.96/x
3. Step 3: Cross multiply
   11,687.64x = 17,536.88 × 5,112.96
4. Step 4: Simplify right side
   11,687.64x = 89,665,365.96
5. Step 5: Solve for x
   x = 89,665,365.96/11,687.64
6. Step 6: Final answer
   x = 7,671.81