Finding the Fourth Proportional to 5,200.58, 7,805.27 and 2,082.78

Step by Step Solution

1. Step 1: Write the proportion equation
   5,200.58 : 7,805.27 = 2,082.78 : x
2. Step 2: Convert to fraction form
   5,200.58/7,805.27 = 2,082.78/x
3. Step 3: Cross multiply
   5,200.58x = 7,805.27 × 2,082.78
4. Step 4: Simplify right side
   5,200.58x = 16,256,665.46
5. Step 5: Solve for x
   x = 16,256,665.46/5,200.58
6. Step 6: Final answer
   x = 3,125.93