Finding the Fourth Proportional to 5,198.71, 7,799.29 and 1,688.72

Step by Step Solution

1. Step 1: Write the proportion equation
   5,198.71 : 7,799.29 = 1,688.72 : x
2. Step 2: Convert to fraction form
   5,198.71/7,799.29 = 1,688.72/x
3. Step 3: Cross multiply
   5,198.71x = 7,799.29 × 1,688.72
4. Step 4: Simplify right side
   5,198.71x = 13,170,817.01
5. Step 5: Solve for x
   x = 13,170,817.01/5,198.71
6. Step 6: Final answer
   x = 2,533.48