Finding the Fourth Proportional to 5,196.26, 7,799.25 and 2,566.73

Step by Step Solution

1. Step 1: Write the proportion equation
   5,196.26 : 7,799.25 = 2,566.73 : x
2. Step 2: Convert to fraction form
   5,196.26/7,799.25 = 2,566.73/x
3. Step 3: Cross multiply
   5,196.26x = 7,799.25 × 2,566.73
4. Step 4: Simplify right side
   5,196.26x = 20,018,598.22
5. Step 5: Solve for x
   x = 20,018,598.22/5,196.26
6. Step 6: Final answer
   x = 3,852.50