Finding the Fourth Proportional to 11,748.72, 17,627.70 and 5,170.30

Step by Step Solution

1. Step 1: Write the proportion equation
   11,748.72 : 17,627.70 = 5,170.30 : x
2. Step 2: Convert to fraction form
   11,748.72/17,627.70 = 5,170.30/x
3. Step 3: Cross multiply
   11,748.72x = 17,627.70 × 5,170.30
4. Step 4: Simplify right side
   11,748.72x = 91,140,462.94
5. Step 5: Solve for x
   x = 91,140,462.94/11,748.72
6. Step 6: Final answer
   x = 7,757.48