Finding the Fourth Proportional to 11,749.98, 17,629.58 and 5,171.55

Step by Step Solution

1. Step 1: Write the proportion equation
   11,749.98 : 17,629.58 = 5,171.55 : x
2. Step 2: Convert to fraction form
   11,749.98/17,629.58 = 5,171.55/x
3. Step 3: Cross multiply
   11,749.98x = 17,629.58 × 5,171.55
4. Step 4: Simplify right side
   11,749.98x = 91,172,254.45
5. Step 5: Solve for x
   x = 91,172,254.45/11,749.98
6. Step 6: Final answer
   x = 7,759.35