Finding the Fourth Proportional to 9,296.39, 13,920.82 and 5,131.78

Step by Step Solution

1. Step 1: Write the proportion equation
   9,296.39 : 13,920.82 = 5,131.78 : x
2. Step 2: Convert to fraction form
   9,296.39/13,920.82 = 5,131.78/x
3. Step 3: Cross multiply
   9,296.39x = 13,920.82 × 5,131.78
4. Step 4: Simplify right side
   9,296.39x = 71,438,538.03
5. Step 5: Solve for x
   x = 71,438,538.03/9,296.39
6. Step 6: Final answer
   x = 7,684.54