Finding the Fourth Proportional to 7,874.82, 10,871.77 and 5,225.82

Step by Step Solution

1. Step 1: Write the proportion equation
   7,874.82 : 10,871.77 = 5,225.82 : x
2. Step 2: Convert to fraction form
   7,874.82/10,871.77 = 5,225.82/x
3. Step 3: Cross multiply
   7,874.82x = 10,871.77 × 5,225.82
4. Step 4: Simplify right side
   7,874.82x = 56,813,913.10
5. Step 5: Solve for x
   x = 56,813,913.10/7,874.82
6. Step 6: Final answer
   x = 7,214.63