Finding the Fourth Proportional to 11,557.69, 17,339.27 and 3,766.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,557.69 : 17,339.27 = 3,766.50 : x
2. Step 2: Convert to fraction form
   11,557.69/17,339.27 = 3,766.50/x
3. Step 3: Cross multiply
   11,557.69x = 17,339.27 × 3,766.50
4. Step 4: Simplify right side
   11,557.69x = 65,308,341.62
5. Step 5: Solve for x
   x = 65,308,341.62/11,557.69
6. Step 6: Final answer
   x = 5,650.64