Finding the Fourth Proportional to 10,267.83, 14,169.27 and 5,791.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,267.83 : 14,169.27 = 5,791.50 : x
2. Step 2: Convert to fraction form
   10,267.83/14,169.27 = 5,791.50/x
3. Step 3: Cross multiply
   10,267.83x = 14,169.27 × 5,791.50
4. Step 4: Simplify right side
   10,267.83x = 82,061,327.21
5. Step 5: Solve for x
   x = 82,061,327.21/10,267.83
6. Step 6: Final answer
   x = 7,992.08