Finding the Fourth Proportional to 9,499.16, 13,109.10 and 5,307.68

Step by Step Solution

1. Step 1: Write the proportion equation
   9,499.16 : 13,109.10 = 5,307.68 : x
2. Step 2: Convert to fraction form
   9,499.16/13,109.10 = 5,307.68/x
3. Step 3: Cross multiply
   9,499.16x = 13,109.10 × 5,307.68
4. Step 4: Simplify right side
   9,499.16x = 69,578,907.89
5. Step 5: Solve for x
   x = 69,578,907.89/9,499.16
6. Step 6: Final answer
   x = 7,324.74