Finding the Fourth Proportional to 12,824.78, 19,219.80 and 5,796.03

Step by Step Solution

1. Step 1: Write the proportion equation
   12,824.78 : 19,219.80 = 5,796.03 : x
2. Step 2: Convert to fraction form
   12,824.78/19,219.80 = 5,796.03/x
3. Step 3: Cross multiply
   12,824.78x = 19,219.80 × 5,796.03
4. Step 4: Simplify right side
   12,824.78x = 111,398,537.39
5. Step 5: Solve for x
   x = 111,398,537.39/12,824.78
6. Step 6: Final answer
   x = 8,686.19