Finding the Fourth Proportional to 10,266.64, 14,167.94 and 5,791.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,266.64 : 14,167.94 = 5,791.82 : x
2. Step 2: Convert to fraction form
   10,266.64/14,167.94 = 5,791.82/x
3. Step 3: Cross multiply
   10,266.64x = 14,167.94 × 5,791.82
4. Step 4: Simplify right side
   10,266.64x = 82,058,058.45
5. Step 5: Solve for x
   x = 82,058,058.45/10,266.64
6. Step 6: Final answer
   x = 7,992.69