Finding the Fourth Proportional to 11,777.36, 17,659.83 and 5,200.43

Step by Step Solution

1. Step 1: Write the proportion equation
   11,777.36 : 17,659.83 = 5,200.43 : x
2. Step 2: Convert to fraction form
   11,777.36/17,659.83 = 5,200.43/x
3. Step 3: Cross multiply
   11,777.36x = 17,659.83 × 5,200.43
4. Step 4: Simplify right side
   11,777.36x = 91,838,709.73
5. Step 5: Solve for x
   x = 91,838,709.73/11,777.36
6. Step 6: Final answer
   x = 7,797.90