Finding the Fourth Proportional to 11,646.69, 17,472.77 and 3,855.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,646.69 : 17,472.77 = 3,855.50 : x
2. Step 2: Convert to fraction form
   11,646.69/17,472.77 = 3,855.50/x
3. Step 3: Cross multiply
   11,646.69x = 17,472.77 × 3,855.50
4. Step 4: Simplify right side
   11,646.69x = 67,366,245.46
5. Step 5: Solve for x
   x = 67,366,245.46/11,646.69
6. Step 6: Final answer
   x = 5,784.15