Finding the Fourth Proportional to 9,196.11, 12,689.84 and 5,107.10

Step by Step Solution

1. Step 1: Write the proportion equation
   9,196.11 : 12,689.84 = 5,107.10 : x
2. Step 2: Convert to fraction form
   9,196.11/12,689.84 = 5,107.10/x
3. Step 3: Cross multiply
   9,196.11x = 12,689.84 × 5,107.10
4. Step 4: Simplify right side
   9,196.11x = 64,808,288.20
5. Step 5: Solve for x
   x = 64,808,288.20/9,196.11
6. Step 6: Final answer
   x = 7,047.36