Finding the Fourth Proportional to 9,687.69, 14,538.87 and 3,844.80

Step by Step Solution

1. Step 1: Write the proportion equation
   9,687.69 : 14,538.87 = 3,844.80 : x
2. Step 2: Convert to fraction form
   9,687.69/14,538.87 = 3,844.80/x
3. Step 3: Cross multiply
   9,687.69x = 14,538.87 × 3,844.80
4. Step 4: Simplify right side
   9,687.69x = 55,899,047.38
5. Step 5: Solve for x
   x = 55,899,047.38/9,687.69
6. Step 6: Final answer
   x = 5,770.11