Finding the Fourth Proportional to 5,196.71, 7,797.69 and 2,599.44

Step by Step Solution

1. Step 1: Write the proportion equation
   5,196.71 : 7,797.69 = 2,599.44 : x
2. Step 2: Convert to fraction form
   5,196.71/7,797.69 = 2,599.44/x
3. Step 3: Cross multiply
   5,196.71x = 7,797.69 × 2,599.44
4. Step 4: Simplify right side
   5,196.71x = 20,269,627.29
5. Step 5: Solve for x
   x = 20,269,627.29/5,196.71
6. Step 6: Final answer
   x = 3,900.48