Finding the Fourth Proportional to 7,826.42, 10,800.96 and 5,169.17

Step by Step Solution

1. Step 1: Write the proportion equation
   7,826.42 : 10,800.96 = 5,169.17 : x
2. Step 2: Convert to fraction form
   7,826.42/10,800.96 = 5,169.17/x
3. Step 3: Cross multiply
   7,826.42x = 10,800.96 × 5,169.17
4. Step 4: Simplify right side
   7,826.42x = 55,831,998.40
5. Step 5: Solve for x
   x = 55,831,998.40/7,826.42
6. Step 6: Final answer
   x = 7,133.79