Finding the Fourth Proportional to 5,189.68, 7,159.71 and 3,196.78

Step by Step Solution

1. Step 1: Write the proportion equation
   5,189.68 : 7,159.71 = 3,196.78 : x
2. Step 2: Convert to fraction form
   5,189.68/7,159.71 = 3,196.78/x
3. Step 3: Cross multiply
   5,189.68x = 7,159.71 × 3,196.78
4. Step 4: Simplify right side
   5,189.68x = 22,888,017.73
5. Step 5: Solve for x
   x = 22,888,017.73/5,189.68
6. Step 6: Final answer
   x = 4,410.29