Finding the Fourth Proportional to 5,200.20, 7,800.98 and 2,569.05

Step by Step Solution

1. Step 1: Write the proportion equation
   5,200.20 : 7,800.98 = 2,569.05 : x
2. Step 2: Convert to fraction form
   5,200.20/7,800.98 = 2,569.05/x
3. Step 3: Cross multiply
   5,200.20x = 7,800.98 × 2,569.05
4. Step 4: Simplify right side
   5,200.20x = 20,041,094.82
5. Step 5: Solve for x
   x = 20,041,094.82/5,200.20
6. Step 6: Final answer
   x = 3,853.91