Finding the Fourth Proportional to 9,791.37, 14,675.40 and 5,634.27

Step by Step Solution

1. Step 1: Write the proportion equation
   9,791.37 : 14,675.40 = 5,634.27 : x
2. Step 2: Convert to fraction form
   9,791.37/14,675.40 = 5,634.27/x
3. Step 3: Cross multiply
   9,791.37x = 14,675.40 × 5,634.27
4. Step 4: Simplify right side
   9,791.37x = 82,685,165.96
5. Step 5: Solve for x
   x = 82,685,165.96/9,791.37
6. Step 6: Final answer
   x = 8,444.70