Finding the Fourth Proportional to 9,663.81, 13,334.42 and 5,631.30

Step by Step Solution

1. Step 1: Write the proportion equation
   9,663.81 : 13,334.42 = 5,631.30 : x
2. Step 2: Convert to fraction form
   9,663.81/13,334.42 = 5,631.30/x
3. Step 3: Cross multiply
   9,663.81x = 13,334.42 × 5,631.30
4. Step 4: Simplify right side
   9,663.81x = 75,090,095.92
5. Step 5: Solve for x
   x = 75,090,095.92/9,663.81
6. Step 6: Final answer
   x = 7,770.24