Finding the Fourth Proportional to 10,824.80, 16,233.15 and 3,802.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,824.80 : 16,233.15 = 3,802.10 : x
2. Step 2: Convert to fraction form
   10,824.80/16,233.15 = 3,802.10/x
3. Step 3: Cross multiply
   10,824.80x = 16,233.15 × 3,802.10
4. Step 4: Simplify right side
   10,824.80x = 61,720,059.62
5. Step 5: Solve for x
   x = 61,720,059.62/10,824.80
6. Step 6: Final answer
   x = 5,701.73