Finding the Fourth Proportional to 3,097.82, 4,647.42 and 1,538.68

Step by Step Solution

1. Step 1: Write the proportion equation
   3,097.82 : 4,647.42 = 1,538.68 : x
2. Step 2: Convert to fraction form
   3,097.82/4,647.42 = 1,538.68/x
3. Step 3: Cross multiply
   3,097.82x = 4,647.42 × 1,538.68
4. Step 4: Simplify right side
   3,097.82x = 7,150,892.21
5. Step 5: Solve for x
   x = 7,150,892.21/3,097.82
6. Step 6: Final answer
   x = 2,308.36