Finding the Fourth Proportional to 9,563.82, 13,194.27 and 5,839.98

Step by Step Solution

1. Step 1: Write the proportion equation
   9,563.82 : 13,194.27 = 5,839.98 : x
2. Step 2: Convert to fraction form
   9,563.82/13,194.27 = 5,839.98/x
3. Step 3: Cross multiply
   9,563.82x = 13,194.27 × 5,839.98
4. Step 4: Simplify right side
   9,563.82x = 77,054,272.91
5. Step 5: Solve for x
   x = 77,054,272.91/9,563.82
6. Step 6: Final answer
   x = 8,056.85