Finding the Fourth Proportional to 5,196.96, 7,798.61 and 2,566.15

Step by Step Solution

1. Step 1: Write the proportion equation
   5,196.96 : 7,798.61 = 2,566.15 : x
2. Step 2: Convert to fraction form
   5,196.96/7,798.61 = 2,566.15/x
3. Step 3: Cross multiply
   5,196.96x = 7,798.61 × 2,566.15
4. Step 4: Simplify right side
   5,196.96x = 20,012,389.97
5. Step 5: Solve for x
   x = 20,012,389.97/5,196.96
6. Step 6: Final answer
   x = 3,850.79