Finding the Fourth Proportional to 10,843.89, 16,259.46 and 5,219.06

Step by Step Solution

1. Step 1: Write the proportion equation
   10,843.89 : 16,259.46 = 5,219.06 : x
2. Step 2: Convert to fraction form
   10,843.89/16,259.46 = 5,219.06/x
3. Step 3: Cross multiply
   10,843.89x = 16,259.46 × 5,219.06
4. Step 4: Simplify right side
   10,843.89x = 84,859,016.01
5. Step 5: Solve for x
   x = 84,859,016.01/10,843.89
6. Step 6: Final answer
   x = 7,825.51