Finding the Fourth Proportional to 11,758.68, 17,643.42 and 5,097.21

Step by Step Solution

1. Step 1: Write the proportion equation
   11,758.68 : 17,643.42 = 5,097.21 : x
2. Step 2: Convert to fraction form
   11,758.68/17,643.42 = 5,097.21/x
3. Step 3: Cross multiply
   11,758.68x = 17,643.42 × 5,097.21
4. Step 4: Simplify right side
   11,758.68x = 89,932,153.64
5. Step 5: Solve for x
   x = 89,932,153.64/11,758.68
6. Step 6: Final answer
   x = 7,648.15