Finding the Fourth Proportional to 11,776.58, 17,669.40 and 5,198.12

Step by Step Solution

1. Step 1: Write the proportion equation
   11,776.58 : 17,669.40 = 5,198.12 : x
2. Step 2: Convert to fraction form
   11,776.58/17,669.40 = 5,198.12/x
3. Step 3: Cross multiply
   11,776.58x = 17,669.40 × 5,198.12
4. Step 4: Simplify right side
   11,776.58x = 91,847,661.53
5. Step 5: Solve for x
   x = 91,847,661.53/11,776.58
6. Step 6: Final answer
   x = 7,799.18