Finding the Fourth Proportional to 12,878.60, 17,768.84 and 7,842.96

Step by Step Solution

1. Step 1: Write the proportion equation
   12,878.60 : 17,768.84 = 7,842.96 : x
2. Step 2: Convert to fraction form
   12,878.60/17,768.84 = 7,842.96/x
3. Step 3: Cross multiply
   12,878.60x = 17,768.84 × 7,842.96
4. Step 4: Simplify right side
   12,878.60x = 139,360,262.15
5. Step 5: Solve for x
   x = 139,360,262.15/12,878.60
6. Step 6: Final answer
   x = 10,821.08