Finding the Fourth Proportional to 9,456.39, 13,046.02 and 5,679.76

Step by Step Solution

1. Step 1: Write the proportion equation
   9,456.39 : 13,046.02 = 5,679.76 : x
2. Step 2: Convert to fraction form
   9,456.39/13,046.02 = 5,679.76/x
3. Step 3: Cross multiply
   9,456.39x = 13,046.02 × 5,679.76
4. Step 4: Simplify right side
   9,456.39x = 74,098,262.56
5. Step 5: Solve for x
   x = 74,098,262.56/9,456.39
6. Step 6: Final answer
   x = 7,835.79