Finding the Fourth Proportional to 11,770.86, 17,650.80 and 5,198.94

Step by Step Solution

1. Step 1: Write the proportion equation
   11,770.86 : 17,650.80 = 5,198.94 : x
2. Step 2: Convert to fraction form
   11,770.86/17,650.80 = 5,198.94/x
3. Step 3: Cross multiply
   11,770.86x = 17,650.80 × 5,198.94
4. Step 4: Simplify right side
   11,770.86x = 91,765,450.15
5. Step 5: Solve for x
   x = 91,765,450.15/11,770.86
6. Step 6: Final answer
   x = 7,795.99