Finding the Fourth Proportional to 3,097.96, 4,647.71 and 1,538.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,097.96 : 4,647.71 = 1,538.69 : x
2. Step 2: Convert to fraction form
   3,097.96/4,647.71 = 1,538.69/x
3. Step 3: Cross multiply
   3,097.96x = 4,647.71 × 1,538.69
4. Step 4: Simplify right side
   3,097.96x = 7,151,384.90
5. Step 5: Solve for x
   x = 7,151,384.90/3,097.96
6. Step 6: Final answer
   x = 2,308.42