Finding the Fourth Proportional to 9,663.74, 14,501.09 and 4,116.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,663.74 : 14,501.09 = 4,116.50 : x
2. Step 2: Convert to fraction form
   9,663.74/14,501.09 = 4,116.50/x
3. Step 3: Cross multiply
   9,663.74x = 14,501.09 × 4,116.50
4. Step 4: Simplify right side
   9,663.74x = 59,693,810.72
5. Step 5: Solve for x
   x = 59,693,810.72/9,663.74
6. Step 6: Final answer
   x = 6,177.09