Finding the Fourth Proportional to 12,874.32, 17,765.69 and 7,208.10

Step by Step Solution

1. Step 1: Write the proportion equation
   12,874.32 : 17,765.69 = 7,208.10 : x
2. Step 2: Convert to fraction form
   12,874.32/17,765.69 = 7,208.10/x
3. Step 3: Cross multiply
   12,874.32x = 17,765.69 × 7,208.10
4. Step 4: Simplify right side
   12,874.32x = 128,056,834.05
5. Step 5: Solve for x
   x = 128,056,834.05/12,874.32
6. Step 6: Final answer
   x = 9,946.69