Finding the Fourth Proportional to 11,777.49, 17,662.72 and 3,878.55

Step by Step Solution

1. Step 1: Write the proportion equation
   11,777.49 : 17,662.72 = 3,878.55 : x
2. Step 2: Convert to fraction form
   11,777.49/17,662.72 = 3,878.55/x
3. Step 3: Cross multiply
   11,777.49x = 17,662.72 × 3,878.55
4. Step 4: Simplify right side
   11,777.49x = 68,505,674.00
5. Step 5: Solve for x
   x = 68,505,674.00/11,777.49
6. Step 6: Final answer
   x = 5,816.66