Finding the Fourth Proportional to 11,684.79, 17,510.76 and 5,097.24

Step by Step Solution

1. Step 1: Write the proportion equation
   11,684.79 : 17,510.76 = 5,097.24 : x
2. Step 2: Convert to fraction form
   11,684.79/17,510.76 = 5,097.24/x
3. Step 3: Cross multiply
   11,684.79x = 17,510.76 × 5,097.24
4. Step 4: Simplify right side
   11,684.79x = 89,256,546.30
5. Step 5: Solve for x
   x = 89,256,546.30/11,684.79
6. Step 6: Final answer
   x = 7,638.69