Finding the Fourth Proportional to 9,778.82, 13,496.50 and 5,801.32

Step by Step Solution

1. Step 1: Write the proportion equation
   9,778.82 : 13,496.50 = 5,801.32 : x
2. Step 2: Convert to fraction form
   9,778.82/13,496.50 = 5,801.32/x
3. Step 3: Cross multiply
   9,778.82x = 13,496.50 × 5,801.32
4. Step 4: Simplify right side
   9,778.82x = 78,297,515.38
5. Step 5: Solve for x
   x = 78,297,515.38/9,778.82
6. Step 6: Final answer
   x = 8,006.85