Finding the Fourth Proportional to 12,878.12, 17,770.38 and 7,849.64

Step by Step Solution

1. Step 1: Write the proportion equation
   12,878.12 : 17,770.38 = 7,849.64 : x
2. Step 2: Convert to fraction form
   12,878.12/17,770.38 = 7,849.64/x
3. Step 3: Cross multiply
   12,878.12x = 17,770.38 × 7,849.64
4. Step 4: Simplify right side
   12,878.12x = 139,491,085.66
5. Step 5: Solve for x
   x = 139,491,085.66/12,878.12
6. Step 6: Final answer
   x = 10,831.63