Finding the Fourth Proportional to 9,566.82, 13,198.41 and 5,842.98

Step by Step Solution

1. Step 1: Write the proportion equation
   9,566.82 : 13,198.41 = 5,842.98 : x
2. Step 2: Convert to fraction form
   9,566.82/13,198.41 = 5,842.98/x
3. Step 3: Cross multiply
   9,566.82x = 13,198.41 × 5,842.98
4. Step 4: Simplify right side
   9,566.82x = 77,118,045.66
5. Step 5: Solve for x
   x = 77,118,045.66/9,566.82
6. Step 6: Final answer
   x = 8,060.99