Finding the Fourth Proportional to 7,196.82, 9,935.91 and 5,205.30

Step by Step Solution

1. Step 1: Write the proportion equation
   7,196.82 : 9,935.91 = 5,205.30 : x
2. Step 2: Convert to fraction form
   7,196.82/9,935.91 = 5,205.30/x
3. Step 3: Cross multiply
   7,196.82x = 9,935.91 × 5,205.30
4. Step 4: Simplify right side
   7,196.82x = 51,719,392.32
5. Step 5: Solve for x
   x = 51,719,392.32/7,196.82
6. Step 6: Final answer
   x = 7,186.42