Finding the Fourth Proportional to 5,200.45, 7,801.35 and 2,569.30

Step by Step Solution

1. Step 1: Write the proportion equation
   5,200.45 : 7,801.35 = 2,569.30 : x
2. Step 2: Convert to fraction form
   5,200.45/7,801.35 = 2,569.30/x
3. Step 3: Cross multiply
   5,200.45x = 7,801.35 × 2,569.30
4. Step 4: Simplify right side
   5,200.45x = 20,044,008.56
5. Step 5: Solve for x
   x = 20,044,008.56/5,200.45
6. Step 6: Final answer
   x = 3,854.28