Finding the Fourth Proportional to 11,668.48, 17,498.16 and 5,097.76

Step by Step Solution

1. Step 1: Write the proportion equation
   11,668.48 : 17,498.16 = 5,097.76 : x
2. Step 2: Convert to fraction form
   11,668.48/17,498.16 = 5,097.76/x
3. Step 3: Cross multiply
   11,668.48x = 17,498.16 × 5,097.76
4. Step 4: Simplify right side
   11,668.48x = 89,201,420.12
5. Step 5: Solve for x
   x = 89,201,420.12/11,668.48
6. Step 6: Final answer
   x = 7,644.65