Finding the Fourth Proportional to 10,149.12, 15,212.56 and 5,219.02

Step by Step Solution

1. Step 1: Write the proportion equation
   10,149.12 : 15,212.56 = 5,219.02 : x
2. Step 2: Convert to fraction form
   10,149.12/15,212.56 = 5,219.02/x
3. Step 3: Cross multiply
   10,149.12x = 15,212.56 × 5,219.02
4. Step 4: Simplify right side
   10,149.12x = 79,394,654.89
5. Step 5: Solve for x
   x = 79,394,654.89/10,149.12
6. Step 6: Final answer
   x = 7,822.81