Finding the Fourth Proportional to 9,666.74, 14,505.59 and 4,119.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,666.74 : 14,505.59 = 4,119.50 : x
2. Step 2: Convert to fraction form
   9,666.74/14,505.59 = 4,119.50/x
3. Step 3: Cross multiply
   9,666.74x = 14,505.59 × 4,119.50
4. Step 4: Simplify right side
   9,666.74x = 59,755,778.01
5. Step 5: Solve for x
   x = 59,755,778.01/9,666.74
6. Step 6: Final answer
   x = 6,181.59