Finding the Fourth Proportional to 11,764.59, 17,647.49 and 5,190.83

Step by Step Solution

1. Step 1: Write the proportion equation
   11,764.59 : 17,647.49 = 5,190.83 : x
2. Step 2: Convert to fraction form
   11,764.59/17,647.49 = 5,190.83/x
3. Step 3: Cross multiply
   11,764.59x = 17,647.49 × 5,190.83
4. Step 4: Simplify right side
   11,764.59x = 91,605,177.61
5. Step 5: Solve for x
   x = 91,605,177.61/11,764.59
6. Step 6: Final answer
   x = 7,786.52