Finding the Fourth Proportional to 9,666.95, 14,499.81 and 4,116.83

Step by Step Solution

1. Step 1: Write the proportion equation
   9,666.95 : 14,499.81 = 4,116.83 : x
2. Step 2: Convert to fraction form
   9,666.95/14,499.81 = 4,116.83/x
3. Step 3: Cross multiply
   9,666.95x = 14,499.81 × 4,116.83
4. Step 4: Simplify right side
   9,666.95x = 59,693,180.30
5. Step 5: Solve for x
   x = 59,693,180.30/9,666.95
6. Step 6: Final answer
   x = 6,174.98