Finding the Fourth Proportional to 11,574.80, 17,362.15 and 3,783.61

Step by Step Solution

1. Step 1: Write the proportion equation
   11,574.80 : 17,362.15 = 3,783.61 : x
2. Step 2: Convert to fraction form
   11,574.80/17,362.15 = 3,783.61/x
3. Step 3: Cross multiply
   11,574.80x = 17,362.15 × 3,783.61
4. Step 4: Simplify right side
   11,574.80x = 65,691,616.61
5. Step 5: Solve for x
   x = 65,691,616.61/11,574.80
6. Step 6: Final answer
   x = 5,675.40