Finding the Fourth Proportional to 5,200.65, 7,793.69 and 3,900.69

Step by Step Solution

1. Step 1: Write the proportion equation
   5,200.65 : 7,793.69 = 3,900.69 : x
2. Step 2: Convert to fraction form
   5,200.65/7,793.69 = 3,900.69/x
3. Step 3: Cross multiply
   5,200.65x = 7,793.69 × 3,900.69
4. Step 4: Simplify right side
   5,200.65x = 30,400,749.14
5. Step 5: Solve for x
   x = 30,400,749.14/5,200.65
6. Step 6: Final answer
   x = 5,845.57