Finding the Fourth Proportional to 10,802.25, 16,205.00 and 3,878.37

Step by Step Solution

1. Step 1: Write the proportion equation
   10,802.25 : 16,205.00 = 3,878.37 : x
2. Step 2: Convert to fraction form
   10,802.25/16,205.00 = 3,878.37/x
3. Step 3: Cross multiply
   10,802.25x = 16,205.00 × 3,878.37
4. Step 4: Simplify right side
   10,802.25x = 62,848,966.46
5. Step 5: Solve for x
   x = 62,848,966.46/10,802.25
6. Step 6: Final answer
   x = 5,818.14