Finding the Fourth Proportional to 10,822.84, 16,234.38 and 3,802.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,822.84 : 16,234.38 = 3,802.56 : x
2. Step 2: Convert to fraction form
   10,822.84/16,234.38 = 3,802.56/x
3. Step 3: Cross multiply
   10,822.84x = 16,234.38 × 3,802.56
4. Step 4: Simplify right side
   10,822.84x = 61,732,204.01
5. Step 5: Solve for x
   x = 61,732,204.01/10,822.84
6. Step 6: Final answer
   x = 5,703.88