Finding the Fourth Proportional to 10,783.12, 16,167.78 and 5,158.48

Step by Step Solution

1. Step 1: Write the proportion equation
   10,783.12 : 16,167.78 = 5,158.48 : x
2. Step 2: Convert to fraction form
   10,783.12/16,167.78 = 5,158.48/x
3. Step 3: Cross multiply
   10,783.12x = 16,167.78 × 5,158.48
4. Step 4: Simplify right side
   10,783.12x = 83,401,169.77
5. Step 5: Solve for x
   x = 83,401,169.77/10,783.12
6. Step 6: Final answer
   x = 7,734.42