Finding the Fourth Proportional to 12,964, 19,435.68 and 5,170.72

Step by Step Solution

1. Step 1: Write the proportion equation
   12,964 : 19,435.68 = 5,170.72 : x
2. Step 2: Convert to fraction form
   12,964/19,435.68 = 5,170.72/x
3. Step 3: Cross multiply
   12,964x = 19,435.68 × 5,170.72
4. Step 4: Simplify right side
   12,964x = 100,496,459.29
5. Step 5: Solve for x
   x = 100,496,459.29/12,964
6. Step 6: Final answer
   x = 7,751.96