Finding the Fourth Proportional to 9,663.92, 13,338.83 and 5,686.31

Step by Step Solution

1. Step 1: Write the proportion equation
   9,663.92 : 13,338.83 = 5,686.31 : x
2. Step 2: Convert to fraction form
   9,663.92/13,338.83 = 5,686.31/x
3. Step 3: Cross multiply
   9,663.92x = 13,338.83 × 5,686.31
4. Step 4: Simplify right side
   9,663.92x = 75,848,627.29
5. Step 5: Solve for x
   x = 75,848,627.29/9,663.92
6. Step 6: Final answer
   x = 7,848.64