Finding the Fourth Proportional to 11,773.36, 17,658.52 and 5,198

Step by Step Solution

1. Step 1: Write the proportion equation
   11,773.36 : 17,658.52 = 5,198 : x
2. Step 2: Convert to fraction form
   11,773.36/17,658.52 = 5,198/x
3. Step 3: Cross multiply
   11,773.36x = 17,658.52 × 5,198
4. Step 4: Simplify right side
   11,773.36x = 91,788,986.96
5. Step 5: Solve for x
   x = 91,788,986.96/11,773.36
6. Step 6: Final answer
   x = 7,796.33