Finding the Fourth Proportional to 5,196.30, 7,799.31 and 2,566.78

Step by Step Solution

1. Step 1: Write the proportion equation
   5,196.30 : 7,799.31 = 2,566.78 : x
2. Step 2: Convert to fraction form
   5,196.30/7,799.31 = 2,566.78/x
3. Step 3: Cross multiply
   5,196.30x = 7,799.31 × 2,566.78
4. Step 4: Simplify right side
   5,196.30x = 20,019,073.93
5. Step 5: Solve for x
   x = 20,019,073.93/5,196.30
6. Step 6: Final answer
   x = 3,852.56