Finding the Fourth Proportional to 9,668.86, 14,501.32 and 5,663.83

Step by Step Solution

1. Step 1: Write the proportion equation
   9,668.86 : 14,501.32 = 5,663.83 : x
2. Step 2: Convert to fraction form
   9,668.86/14,501.32 = 5,663.83/x
3. Step 3: Cross multiply
   9,668.86x = 14,501.32 × 5,663.83
4. Step 4: Simplify right side
   9,668.86x = 82,133,011.26
5. Step 5: Solve for x
   x = 82,133,011.26/9,668.86
6. Step 6: Final answer
   x = 8,494.59