Finding the Fourth Proportional to 11,771.32, 17,648.34 and 10,147

Step by Step Solution

1. Step 1: Write the proportion equation
   11,771.32 : 17,648.34 = 10,147 : x
2. Step 2: Convert to fraction form
   11,771.32/17,648.34 = 10,147/x
3. Step 3: Cross multiply
   11,771.32x = 17,648.34 × 10,147
4. Step 4: Simplify right side
   11,771.32x = 179,077,705.98
5. Step 5: Solve for x
   x = 179,077,705.98/11,771.32
6. Step 6: Final answer
   x = 15,213.05