Finding the Fourth Proportional to 10,809.84, 16,216.92 and 3,415

Step by Step Solution

1. Step 1: Write the proportion equation
   10,809.84 : 16,216.92 = 3,415 : x
2. Step 2: Convert to fraction form
   10,809.84/16,216.92 = 3,415/x
3. Step 3: Cross multiply
   10,809.84x = 16,216.92 × 3,415
4. Step 4: Simplify right side
   10,809.84x = 55,380,781.80
5. Step 5: Solve for x
   x = 55,380,781.80/10,809.84
6. Step 6: Final answer
   x = 5,123.18