Finding the Fourth Proportional to 5,200.09, 7,795.82 and 3,635.62

Step by Step Solution

1. Step 1: Write the proportion equation
   5,200.09 : 7,795.82 = 3,635.62 : x
2. Step 2: Convert to fraction form
   5,200.09/7,795.82 = 3,635.62/x
3. Step 3: Cross multiply
   5,200.09x = 7,795.82 × 3,635.62
4. Step 4: Simplify right side
   5,200.09x = 28,342,620.93
5. Step 5: Solve for x
   x = 28,342,620.93/5,200.09
6. Step 6: Final answer
   x = 5,450.41